## Summary

The Excel SQRT function calculates the square root of a given number. It’s widely used in mathematical, engineering, and financial calculations, especially where the measurement of geometric or other properties involving squares is involved.

##### Syntax

` ````
```=SQRT(number)

**number:**The number for which you want to find the square root. Note: If the number is negative, SQRT will return the #NUM! error

##### Return value

The square root of the specified number.

## How to use

Use the SQRT function by inputting the number for which you wish to calculate the square root. This function is useful for a variety of scientific and mathematical calculations where the square root is needed.

## Examples

##### Simple SQRT

**Calculating the Square Root of a Number:**To find the square root of 16:

` ````
```=SQRT(16)

This formula returns 4, which is the square root of 16.

##### SQRT in Geometry Calculations

**Finding the Length of a Diagonal in a Square:**Using SQRT to calculate the diagonal length of a square with side length 5:

` ````
```=SQRT(5^2 + 5^2)

This formula calculates the diagonal length of the square, which is approximately 7.07.

##### SQRT for Statistical Data

**Standard Deviation Calculation:**In statistics, SQRT is often used to calculate the standard deviation:

` ````
```=SQRT(VAR.P(A2:A10))

This calculates the standard deviation for a population based on the variance of values in A2:A10.

##### SQRT in Engineering

**Engineering Applications:**Using SQRT in more complex engineering formulas:

` ````
```=SQRT(Force / Area)

This formula might be used in engineering to calculate stress or pressure, where Force is divided by Area.

##### SQRT for Financial Models

**Calculating Compound Interest:**In finance, SQRT can be used to calculate compound interest over a square root time period:

` ````
```=Principal * (1 + InterestRate) ^ SQRT(Time)

This formula calculates the amount of compound interest on a principal amount over a square root time period.

## Additional Notes

- SQRT is an essential function in any calculation involving square roots, used in a wide array of scientific, engineering, and financial calculations.
- If the input number is negative, SQRT returns the #NUM! error, as the square root of a negative number is not a real number.