What is square root in excel

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This article describes the formula syntax and usage of the SQRT function in Microsoft Excel.

Description

Returns a positive square root.

Syntax

SQRT(number)

The SQRT function syntax has the following arguments:

  • Number    Required. The number for which you want the square root.

Remark

If number is negative, SQRT returns the #NUM! error value.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

-16

Formula

Description

Result

=SQRT(16)

Square root of 16.

4

=SQRT(A2)

Square root of -16. Because the number is negative, the #NUM! error message is returned.

#NUM!

=SQRT(ABS(A2))

Avoiding the #NUM! error message by first using the ABS function to find the absolute value of -16 and then finding the square root.

4

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Excel is like a Swiss army knife for calculations. From mathematical to financial, it’s for every single thing you need to calculate. You can calculate simple to most complex things in Excel.

Take an example of a SQUARE ROOT. A square root is a quite common calculation that we do in our day-to-day work, and in Excel, you can calculate it with ease.

You know what?

I have found that there are five different ways to calculate a square root in Excel. Yes, five different methods, which you can use in different situations. 

And today in this post, I’d like to share with you these five simple methods to find a square root of a number in Excel. So let’s learn this thing.

What’s a SQUARE Root?

Before we learn to calculate it, it’s important to understand what it really means, and how we calculate it normally.

Calculating a square root is an inverse calculation for coming back to the root of a square.

So when you calculate the square of 10 by multiplying it by itself, that’s (10 * 10 = 100). Then, square root means coming back from 100 to 10.

how to calculate square root in excel

You can learn more about it from Wikipedia. But now, let’s learn how we can do this in Excel.

As I said, we can use 5 different ways for the calculation of square root according to the need or personal preference.

Not all methods are the same but useful.

Method-1: Use SQRT Function to find the SQUARE Root of a Number

If you need to use only one method for calculating square root, the SQRT function is that one. It’s a specific function to do this.

You just simply need to refer to a cell or specify a number.

SQRT’s Syntax: Where the number is the number or cell reference which contains the number for which you want to find the square root.

SQRT(number)

Examples:

In the below example, we have the number 625 in cell A1. So, to calculate the square root for this we can insert the below formula (Formula Bar) into B1.

=SQRT(A1)
combining sqrt with abs to calculate square root for a negative

The value it has returned is 25 which is the square root of 625. As you see, SQRT is simple to use and easy to apply.

If you have a negative number like below then it will return a #NUM!.

error while calculating square root in excel with negative number

So the solution to this problem is to use the ABS function along with SQRT. Here’s an example:

=SQRT(ABS(A1))
using sqrt function to calculate square root in excel

When we use ABS it converts a number into an absolute number. That means a converts a negative number into a positive.

Method-2: Calculate the SQUARE Root of a Number Using the POWER Function

Another way to calculate a square root is by using the POWER function. POWER function has more power than SQRT as it returns the result of a number raised Nth to a given power.

POWER’s Syntax:

POWER(number, power)

Where the number is the number or cell’s reference which contains the number for which you want to find the square root and power is the Exponent to raise power too.

Let’s say we need to find the square root of a number from cell A1 (that’s 625) then we can use 1/2 as a powerful argument in this function.

And, the formula would be:

=POWER(A1,1/2)
use power function to calculate square root of a number in excel

As you see it returns 25 in the result which is the square root of 625.

Apply an Exponent Formula to Get the SQUARE root of a Number

If we need to insert a simple formula (other than the above two methods) to calculate a square root then we can use a simple formula using the exponent operator.

This formula is just like POWER. The only difference is instead of the function we need to use an exponent operator.

=A1^(1/2)
using an exponent operator formula to get square root in excel

In the above formula, A1 is the cell where we have a number for which we need to find the square root, and then we used an exponent operator and then (1/2) for the rise to power.

The best benefit of this formula is its application. Apart from the square root, we can use it to calculate the cube root or any nth root.

VBA Code to Show the SQUARE Root of a Number

Let me tell you about a different scenario where we need to check the square root of a number instead of calculating it in a cell.

Code-1

Below is a VBA code that returns the square root when we select a cell and run this code.

Sub getSquareRoot()
Dim rng As Range
Dim sqr As Long
If Application.Selection.Cells.Count > 1 Then
MsgBox "Please select only one cell", vbOKOnly, "Error"
Exit Sub
End If
Set rng = ActiveCell
If IsNumeric(rng) = True Then
sqr = rng ^ (1 / 2)
MsgBox "The Square Root of " & rng & " is " & sqr, vbOKOnly, "Square Root Value"
Else
MsgBox "Please select a numeric value", vbOKOnly, "Error"
End If
End Sub

How this code works

When we run this code, it verifies the value in the selected cell and if that value is a number then it calculates the square root of that number and shows it using a message box. One thing you need to take care, that if you select more than one cell this code will not work.

Code-2

By using the below code we can check to enter a square root of a number without having the actual number in a cell.

Sub getSquareRoot()
Dim sq As Long
Dim sqr As Long
sq = InputBox("Enter the value to calculate square root", "Calculate Square Root")
If IsNumeric(sq) = True Then
sqr = sq ^ (1 / 2)
MsgBox “The Square Root of " & sq & " is " & sqr, vbOKOnly, "Square Root Value"
Else
MsgBox "Please enter a number.", vbOKOnly, "Error"
End If
End Sub

how this code works

When we run this code it shows us an input box asking for the number for which we need to get the square root.

And when we enter that number, it calculates the square root for that number and shows a message box with the square root. You can use any of the above codes which are perfect for you.

5. Using Power Query to Convert Numbers into SQUARE Roots

Here’s another way that we can use if you need to convert multiple numbers into their square roots.

That’s Power Query.

Below we have a table where we have a few numbers and here we want to get the square root of these numbers in one go.

a simple table to calculate square roots in excel using power query

Note: Using a power query for square root is a dynamic method, every time you enter a new value in your table it will return the square root of that number.

  • First of all, select any cell from the table and go to Data Tab ➜ Get & Transform Data and click on From Table/Range.
select any cell from the table to calculate square root in excel using power query
  • Once you click on it, Excel opens the power query editor and adds that table to it.
  • From here we need to create a new column with square root values and for this go to Add Column tab and click on Custom Column.
click on custom column to add a column to find square root of numbers in excel
  • At this point, we have a Custom Column window opened and in this window, we need to add the following:
    • First of all, enter the column name “Square Root” in the column name input box.
    • After that, enter (=Number.Sqrt([Numbers])) in the custom column formula input box and click OK.
enter column values create a new column to calculate square roots of numbers in excel using power query
  • Now we have a new column with square roots of the number we have in the first column.
newly added column with square root values in excel using power query
  • From here, you need to delete the first column of the original values. So, right-click on it and click remove.
click remove to load table to worksheet to get square root in excel using power query
  • After that, go to the home tab and click on close and load too.
click close and load to get square root data into existing worksheet using power query in excel
  • Here you get a window to load data. First of all, select the existing worksheet and add range B1. Second, tick mark “Add to the Data Model”. 
window to add square root data into existing worksheet using power query in excel

As I said, this table is dynamic. When you enter a new value in the original data table it calculates its square root automatically in your new table when you refresh it. And, we are not using any type of formula here.

Once you calculate a square root from a number, the next thing you can do is add a square root symbol. And for this, we have two different ways which we can use.

1. Using a Shortcut Key

A simple way to add a square root symbol is the shortcut key and the shortcut is Alt + 251. You need to hold down the Alt key as you type 251 on the numeric keypad. and once you release the Alt key, the symbol appears.

2. Add a SQUARE Root Symbol by Applying Custom Formatting

This is the most effective way to add a symbol. All you need to do is, select all the cells, open the custom formatting option, and add formatting into the formatting input bar.

√General

add square root symbol in a cell using custom formatting

3. VBA to Add a Square Symbol

You can also use below VBA code to apply custom formatting to all the cells in the selection.

Sub add_squareroot()
Selection.NumberFormat = ChrW(8730) & "General"
End Sub

Note: The benefit of using the #2 and #3 methods is you don’t need to add a symbol to all the cells one by one and when you add a symbol to a cell the value in the cell becomes a text and can’t be used further as a number.

sample-file

Conclusion

If you just want to know the square root of a number then the VBA method is the best, select the cell and run the code. Otherwise, formulas are best if you need to use a square root value in further calculations, and we have three different formulas in this list.

Power Query is a dynamic method and one must give it a try.

Now you tell me one thing.

Which is your favorite method to calculate a square root in Excel?

Share your views with me in the comment section, I’d love to hear from you. And, don’t forget to share this list with your friends, I’m sure they will appreciate it.

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⇠ Back to 100+ Excel Formulas List (Basic + Advanced)

The Microsoft Excel SQRT function returns the square root of a number. The SQRT function is a built-in function in Excel that is categorized as a Math/Trig Function. It can be used as a worksheet function (WS) in Excel.

Contents

  • 1 What is sqrt in Excel formula?
  • 2 What is the function of sqrt?
  • 3 How do you use Excel to root?
  • 4 What sqrt stands for?
  • 5 What is sqrt in computer?
  • 6 How do you do 12th root in Excel?
  • 7 How do you write square roots?
  • 8 How do you write square root in Word?
  • 9 What is the value of √?
  • 10 What does math sqrt mean in Java?
  • 11 How do you write an algorithm for square?
  • 12 How do you write 10th root in Excel?
  • 13 What does power mean in Excel?
  • 14 How do you calculate root power?
  • 15 What is square formula?
  • 16 What is square root 24 simplified?
  • 17 What is a square of 25?
  • 18 How do you write square root on the computer?
  • 19 What is the square root of 64?
  • 20 What is the square of 2?

The Excel SQRT function returns the square root of a positive number. SQRT returns an error if number is negative.

What is the function of sqrt?

The SQRT function is one of the math and trigonometry functions. It is used to return the square root of a number. where x is a numeric value entered manually or included into the cell you make reference to.

How do you use Excel to root?

How to Find Roots in Excel

  1. Calculate a square root. The syntax for the SQRT() function is: =SQRT(number)
  2. Calculate an nth root. Use the POWER() function to calculate any root value: =POWER(number,(1/n))
  3. Find the cube root in Excel.
  4. Calculate the roots of imaginary numbers.

What sqrt stands for?

Definition. SQRT. Square Root. Copyright 1988-2018 AcronymFinder.com, All rights reserved.

What is sqrt in computer?

Calculates the square root of a number. The square root of a number is always positive, even though there may be a valid negative root. The square root s of number a is such that s*s = a. It is the opposite of squaring.

How do you do 12th root in Excel?

Excel has no built-in function to calculate the nth root of a number. To calculate the nth root of a number, simply raise that number to the power of 1/n. 6. For example, 5 * 5 * 5 or 5^3 is 5 raised to the third power.

How do you write square roots?

A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

How do you write square root in Word?

Microsoft Word offers a pre-defined shortcut key for popular symbols such as square root.

  1. Type 221a or 221A (does not matter, uppercase or lowercase), immediately after that press Alt+X to insert the square root symbol: √
  2. Type 221b or 221B, and press Alt+X to insert the cube root symbol: ∛

What is the value of √?

The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414. This value is widely used in mathematics.
Related Topics:

Square Root Table Square Root From 1 to 25
Square Root Of 3 Square Root Finder
Square Root Tricks Square Root And Cube Root

What does math sqrt mean in Java?

Math. sqrt() returns the square root of a value of type double passed to it as argument. If the argument is NaN or negative, then the result is NaN.

How do you write an algorithm for square?

Explanation: Algorithm is as follows: Divide the number in two parts with one part containing only the number at unit’s place say part ‘A’, and other part say ‘B’, containing the remaining number. Now square the number at unit’s place. The square will be one of these; {0,1,4,9,16,25,36,49,64,81}.

How do you write 10th root in Excel?

nth root of number

  1. =B5^(1/C5) With the POWER function. The POWER function is another way to perform exponentiation in Excel. To get the nth root of a number with POWER, use the number with 1/n for the power argument:
  2. =POWER(number,1/n) So for the example shown, the formula in D5 would be:
  3. =POWER(B5,1/C5)

What does power mean in Excel?

Description. The Microsoft Excel POWER function returns the result of a number raised to a given power. The POWER function is a built-in function in Excel that is categorized as a Math/Trig Function. It can be used as a worksheet function (WS) in Excel.

How do you calculate root power?

To calculate powers of numbers, multiply the base, or a, by itself, or the exponent or power designated by b. The square root of a number x (denoted √x) is a number multiplied by itself two times in order to get x, while a cubed root is a number multiplied by itself three times.

What is square formula?

Area of square formula = Length × Breadth. Area of square formula = s × s = s²

What is square root 24 simplified?

2√6
The square root is √24 = 2√6.

What is a square of 25?

The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.
Square Root of 25 in radical form: √25.

1. What Is the Square Root of 25?
2. Is Square Root of 25 Rational or Irrational?
3. How to Find the Square Root of 25?

How do you write square root on the computer?

Open the document in which you want to insert the square root symbol. You can use this method in any Windows app that allows typing, including your web browser. Click the location where you want to insert the symbol. Press and hold Alt and type 2 , then 5 , and then 1 .

What is the square root of 64?

8
The square root of 64 is 8.

What is the square of 2?

1.414
List of Perfect Squares

NUMBER SQUARE SQUARE ROOT
2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236

The Square Root function is a built-in arithmetic function in Excel used to calculate a given number’s square root. To use this function, we need to type the keyword =SQRT and press the “tab” button, which will pop up the SQRT function. This function takes a single argument.

The SQRT function in Excel is one of the many MATH & TRIGONOMETRY functions. When we multiply the number with the same number, we get the square root of a number.

For example, the square root of the number 25 is 5 because if we multiply the number 5 by 5, we will get a value of 25.

We can also write the equation this way.

52

If you are a newbie to mathematics, you may think 5*2, which will return the result as 10. But it will solve the above equation like this:

5 * 5 = 25.

Table of contents
  • Square Root Formula in Excel (SQRT)
    • Negative Square
    • Syntax
    • How to Calculate Square Root (SQRT) in Excel? (With Examples)
      • Example #1
      • Example #2
      • Example #3
    • Things to Remember
    • Recommended Articles

Negative Square

Square root works for negative numbers as well. Now, look at the below examples.

If the number -6 is squared, we will get a positive number of 36.

-6 * -6 = +36. As per the mathematics rule, we will get a positive number if we multiply the negative sign with the negative sign.

And off course, 6 * 6 = 36 as well.

So, the square root of 36 is either 6 or -6.

Square root in Excel is a brainer. It works the same way too. With manual calculation, we need some calculators to do the task. But in Excel, it is just a supply of the number to the formula SQRT.

Syntax

Square Root formula in excel

Number: This is the only parameter the SQRT function has. We need to supply the number we are trying to find the square root value.

We must remember that the square root formula can return the result only for positive numbers. If we supply the negative number, we will get #NUM! Error.

Square Root function 1

How to Calculate Square Root (SQRT) in Excel? (With Examples)

In Excel, we can calculate the square root not only by using the square root but also in several other ways.

You can download this Square Root Excel Template here – Square Root Excel Template

Example #1

We have a list of numbers. But, first, we need to find the square root value.

Square Root Function Example 1

  1. Copy these numbers to Excel.

    Square Root Function Example 1-1

  2. Open the formula in the B2 cell.

    Square Root Function Example 1-2

  3. In this case, select the required cell, i.e., A2.

    Square Root Function Example 1-3

  4. Now, drag and drop the formula to the remaining cells.

    Square Root Function Example 1-4

Example #2

In this article’s earlier section, we mentioned that the square root in the Excel formula could work only for positive numbers. If we supply the negative number, we will get #NUM! Error.

Square Root Function Example 2

But we can apply another formula with the SQRT function to get this done. Now, look at the below negative numbers.

Square Root Function Example 2-1

We have applied the SQRT Excel function, and we got #NUM! Errors due to negative numbers.

To solve this issue, first, we need to convert all the negative numbers into positive ones. So, we will use the ABS functionABS Excel function or Absolute function is used to calculate the absolute value of a given number. The negative numbers given as input are changed to positive numbers and if the argument provided to this function is positive, it remains unchanged.read more, which can return the absolute value of a negative number. We do not need to apply this formula separately. Instead, we can nest this formula inside the SQRT function itself.

Square Root Function Example 2-2

Firstly, the ABS function will convert the negative number to a positive number. Then, the SQRT Excel function will work properly because of the positive number supplied by the ABS function.

Example #3

We have learned how to calculate the square root number in the Excel formula. But we can find the square of the number too.

Now, look at the numbers below.

Function Example 3

If we multiply the 6 with 6, we will get 36. As a result, i.e., the square root of the number 36 is 6. But we do not have any special formula to calculate the square value. But still, we can do this, which is the power of Excel.

Function Example 3-1

By using an exponential symbol, we can solve this problem.

Things to Remember

  • The SQRT function can accept only numbers. If you supply anything other than the numerical value, we will get #VALUE! Error.
  • The SQRT function accepts only positive numbers. If you supply negative numbers, it will return the result as #NUM! Error.
  • We must hold the “ALT” key and type 251 from the number keypad to insert the square root symbol.

Recommended Articles

This article has been a guide to Square Root in Excel. Here, we discuss how to calculate square root using the SQRT formula in Excel, along with examples and downloadable Excel templates. You may also look at these useful functions in Excel: –

  • Adjusted R SquaredAdjusted R Squared refers to the statistical tool which helps the investors in measuring the extent of the variance of the variable which is dependent that can be explained with the independent variable and it considers the impact of only those independent variables which have an impact on the variation of the dependent variable.read more
  • R Squared FormulaR Squared formula depicts the possibility of an event’s occurrence within an expected outcome. It is «r = n (∑xy) – ∑x ∑y / √ [n* (∑x2 – (∑x)2)] * [n* (∑y2 – (∑y)2)]», where r is the Correlation coefficient, n is the number in the given dataset, x is the first variable in the context and y is the second variable. read more
  • Excel Not RespondingWhen the Excel software hangs or freezes in the middle of a task, the «Excel no responding» message pops. There are multiple reasons which leads to such errors and there are multiple ways to troubleshoot his problem as well.read more
  • Grade Excel FormulaThe Grade system formula is actually a nested IF formula in excel that checks certain conditions and returns the particular Grade if the condition is met. It is developed to check all conditions we have for the grade slab, and the grade that belongs to the condition is returned. read more

The square root of a number is used in many mathematical, statistical, engineering, and other types of formulas.

It’s no doubt the reason why many people need to calculate the square root of numbers in Excel.

With such a common task, there are many ways to get it done in Excel.

In this post, I’ll show you 5 ways you can use to calculate the square root of a number.

What is a Square Root of a Number?

The square root of a number is another number that produces the original number when multiplied by itself.

You would say A is the square root of B if and only if A x A = B.

For example, 3 is the square root of 9 because 3 x 3 = 9.

1.5 is the square root of 2.25 because 1.5 x 1.5 = 2.25.

Calculate the Square Root with the Carat Operator

One way you can use to calculate the square root of a number is using the carat (^) operator.

This is Microsoft Excel’s exponentiation operator and will allow you to raise a number to an exponent or power.

Finding the square root of a number is the same as raising that number to a power of 1/2 = 0.5. This is because A1/2 x A1/2 = A(1/2+1/2) = A1 = A.

= B3 ^ ( 1 / 2 )

You can use the carat operator as above to raise the number in cell B3 to the power of 1/2 or 0.5 which will produce the square root.

Calculate the Square Root with the SQRT Function

Another useful way to get the square root is with the SQRT function.

In fact, the sole purpose of this function is to return the square root of a number you supply it.

Syntax for the SQRT Function

= SQRT ( number )
  • number is the positive number of which you would like to calculate the square root.

Note: If you try to find the square root of a negative number, the function will return a #NUM! error. This is because the square root does not exist unless you consider the complex numbers.

Example of the SQRT Function

= SQRT ( B3 )

The above example will return the square root of the number in cell B3. In this case, it returns 2 as the result.

Calculate the Square Root with the POWER Function

The SQRT function is a very focused function with a single-use case of calculating the square root.

There is a more generalized function that will allow you to calculate the exponent of any number including the square root value.

Syntax for the POWER Function

= POWER ( base, exponent )
  • base is the number which you would like to calculate the square root.
  • exponent is the power to which you would like to raise the base value.

Example of Calculating the Square Root with the POWER Function

= POWER ( B3, 1 / 2 )

If you want to use the POWER function to find the square root, then you can use an exponent of 1/2 = 0.5.

The example above will return the square root of the value in cell B3.

Calculate the Square Root with the SERIESSUM Function

The SERIESSUM is a specialized function that allows you to evaluate a series.

a1xn + a2x(n+m) + a3x(n+2m) +...+ aix(n+(i-1)m) 

A series is just the sum of a sequence of terms like the above generic formula. The SERIESSUM function will evaluate this sum.

Since x(1/2) is a special case of this generic formula, you can use the SERIESSUM function to evaluate the square root of a value.

Syntax for the SERIESSUM Function

= SERIESSUM ( x, n, m, coefficients )
  • x is the input value of the series. This is the value which you would like to evaluate the series at.
  • n is the starting power of the series.
  • m is the step by which the power will increase in the series.
  • coefficients is an array of values (a1, a2, a3,…,ai) to multiply each term of the series.

Example of Calculating the Square Root with the SERIESSUM Function

Now if you’d like to use the SERIESSUM function to calculate the square root of a number, then all you need to do is use a single value instead of an array of values for the coefficients.

This way the series will only have a single term.

You can then set the starting power as 1/2 and the step increases as 0.

= SERIESSUM ( B3, 1 / 2, 0, 1 )

In the above formula, cell B3 contains the value you wish to find the square root of.

The starting power of the series is n = 1/2 and this will increase by a factor of m = 0 for each term in the series.

Because the coefficients = 1, there will only be one term in the series which will be the square root of B3.

Calculate the Square Root with Power Query

Power query is the best way to import and transform data in Excel.

If your data is from an external source, then you might be using a power query to get the data into Excel.

Power query would also be a great place to add any calculations, such as a square root, during the import.

If your data is already in Excel, you can also use a power query.

Add your data into an Excel table. Select the data and press Ctrl + T to create a table.

Go to the Data tab and press the From Sheet command. This will open up the power query editor with your data.

Go to the Add Column tab and click on Custom Column to create a new column with the square root calculation.

= Number.Sqrt([Numbers])

This will open the Custom Column menu. Give the column a name such as Square Root, and insert the above formula into the formula editor, then press the OK button.

In this example, the Numbers column contains the number which you want to find the square root.

This will create a new column in the data!

You can now go to the Home tab and press the Close and Load button to load the data back into Excel.

The Import Data menu will appear and you can select to load the data into a Table then choose the location where you’d like to load the data. In this example, the data is being loaded into an Existing worksheet in cell D2.

Your data will load into another Excel table with the additional Square Root column.

Conclusions

Excel offers many different options when calculating the square root!

This blog post showed you five different ways you can find the square root of a number.

The carat operator, SQRT function, POWER function, SERIESSUM functions, and power query can all be used to calculate the square root.

Do you know any other methods? Let me know in the comments section below!

About the Author

John MacDougall

John is a Microsoft MVP and qualified actuary with over 15 years of experience. He has worked in a variety of industries, including insurance, ad tech, and most recently Power Platform consulting. He is a keen problem solver and has a passion for using technology to make businesses more efficient.

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