**Please Note: **
This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, and 2016. If you are using an earlier version (Excel 2003 or earlier), *this tip may not work for you*. For a version of this tip written specifically for earlier versions of Excel, click here: Finding the Nth Root of a Number.

You may be wondering how to use Excel to derive different roots of a number. Finding a square root is easy: you just use the SQRT function. For instance, the following returns the square root of the value in cell B7:

=SQRT(B7)

What about different roots, however? What if you want the fifth root of the value in B7, instead of the square root? Unless you are a math whiz (and I am not), the answer may not be that obvious. All you need to do is raise the value to the power of 1/n. For instance, if you want that fifth root of B7, then you would use the following formula:

=B7^(1/5)

*ExcelTips* is your source for cost-effective Microsoft Excel training.
This tip (12350) applies to Microsoft Excel 2007, 2010, 2013, and 2016. You can find a version of this tip for the older menu interface of Excel here: **Finding the Nth Root of a Number**.

**Save Time and Supercharge Excel!** Automate virtually any routine task and save yourself hours, days, maybe even weeks. Then, learn how to make Excel do things you thought were simply impossible! Mastering advanced Excel macros has never been easier. Check out *Excel 2010 VBA and Macros* today!

When performing a statistical analysis on a large dataset, you may want to use GEOMEAN to figure out the geometric mean ...

Discover MoreThe SUMIFS function can be quite powerful in conditionally summing information based on criteria you specify. This tip ...

Discover MoreWhen applying trigonometry to the values in a worksheet, you may need to convert radians to degrees. This is done by ...

Discover More**FREE SERVICE:** Get tips like this every week in *ExcelTips,* a free productivity newsletter. Enter your address and click "Subscribe."

2020-11-13 06:46:18

Peter Atherton

Ronald Finnerty

A couple of useful links'

https://www.exploringbinary.com/binary-converter/

https://indepth.dev/the-simple-math-behind-decimal-binary-conversion-algorithms

Unfortunately, neither how to get the square root of a binary number. Here are the basics:

(see Figure 1 below)

You can convert a whole number to binary using the DEC2BIN function or by an algorithm shown in Fig1. It also shows how to convert a decimal to binary. Some decimals can not be converted exactly, so we stop when you get a repeated pattern.

For the decimal algorithm, you can use the TEXTJOIN function to get the decimal part from the algorithm.

To get a square root you can use the Babylonian algorithm {fig2), I just used the SQRT function in K2 of 65 to get the integer binary. And used a version of the TEXTJOIN for the decimal part.

(see Figure 2 below)

Of course, you don't need the Babylonian algorithm for the fraction just get it from the decimal SQRT function.

**Figure 1.** Integer & Faction convertsion.

**Figure 2.** Babylonian Fraction Algorithm

2020-11-12 05:47:03

JMJ

- n^(1/5) gives the fifth root of n

- n^-(5 ) gives the inverse of n^5

By example, if n = 10,

n^2 = 100

n^-2 = 0.01

n^(1/2) = 3.16227766 (this is the square root of 10)

So, using fractional exponents or negatives exponents is COMPLETELY DIFFERENT !

2017-09-25 10:20:04

Ronald Finnerty

If I have a number and need to find the nth root of base 2 of the number i am no further along with your solution.

i only know the answer is 2^1/n so how do i find n?

2017-06-20 09:22:53

Dennis Costello

2^-1 for instance is 0.5 (2/2^1)

2^-3 is 0.125 (2/2^3)

When he meant

2^-1 for instance is 0.5 (1 / 2^1)

2^-3 is 0.125 (1 / 2^3)

2016-06-30 17:20:39

Maarten Daams

2^-1 for instance is 0.5 (2/2^1)

2^-3 is 0.125 (2/2^3)

etc.

And so on.

Of course fractional negative exponents work also, but that is more complicated

2016-06-11 06:08:43

Polarisking

The POWER function also works here,

POWER(B7,1/5)

Got a version of Excel that uses the
ribbon interface (Excel 2007 or later)?
**This site is for you!** If you
use an earlier version of Excel, visit
our *ExcelTips* site focusing on the menu interface.

**FREE SERVICE:** Get tips like this every week in *ExcelTips,* a free productivity newsletter. Enter your address and click "Subscribe."

Copyright © 2021 Sharon Parq Associates, Inc.

## Comments