Calculating and Using Square Roots

Microsoft Excel and Google Sheets are spreadsheet programs that include an extensive set of mathematical functions. One such function, SQRT, calculates the square root of a number. A square root is a number which, when multiplied by itself, yields the original number. The SQRT function returns only positive results and will produce an error if a negative number is input.

Function Syntax

The basic syntax of the SQRT function is as follows:

SQRT(number)

Here, number is the number for which you want to find the square root. If the number is negative, Excel returns a #NUM! error.

Examples of Using SQRT

• =SQRT(9) yields a result of 3.

• =SQRT(16) yields a result of 4.

• =SQRT(-4) results in a #NUM! error because the square root of a negative number is not defined as a real number in mathematics.

Practical Applications

The SQRT function can be used in various fields, from engineering to finance. Here are two practical applications:

Application 1: Geometric Problems

Suppose you know the area of a square and need to determine the length of its sides. If the area is 25 cm², you can calculate the side length using the square root function:

=SQRT(25)

This formula computes the length of one side of the square as 5 cm.

Application 2: Financial Modeling

The SQRT function can be utilized to calculate the standard deviation of investment returns. For example, if the variance of annual return rates is 16%, to compute the standard deviation, you would use:

=SQRT(0.16)

This calculation indicates that the standard deviation is approximately 0.4%, which is critical for assessing risk.

Summary

The SQRT function is easily accessible in Excel and Google Sheets and serves as a fundamental tool for mathematical calculations. It offers a wide range of applications, from geometric computations to financial analysis.

Daha fazla bilgi: https://support.microsoft.com/tr-tr/office/karekök-işlevi-654975c2-05c4-4831-9a24-2c65e4040fdf