# SQRT Function in Excel

π Part 1: Introduce

π Definition The SQRT function is a built-in function in Microsoft Excel that returns the positive square root of a given number.

π― Purpose The SQRT function’s primary purpose is to compute a specified number’s square root.

π Syntax & Arguments

syntax
`SQRT(number) `
• Number: Required. The number for which you want the square root.

π Explain the Arguments in the function

• Number: This is the only argument for the SQRT function. It represents the number you wish to find the square root for.

π Return value The SQRT function returns the positive square root of the provided number.

β Remarks If the input number is negative, the SQRT function will return the #NUM! error value.

π Part 2: Examples

π’ Example 1: Square Root of Sales Revenue

• π― Purpose: To find the square root of sales revenue for better data normalization.
• π Datasheet and formulas:
ABC
1Sales RevenueSQRT FormulaResult
210000=SQRT(A2)100
32500=SQRT(A3)50
46400=SQRT(A4)80
• π Explanation: This example demonstrates how to compute the square root of sales revenue figures. The square root can be helpful in data normalization in specific analytical scenarios.

π’ Example 2: Square Root of Adjusted Sales Revenue using IF

• π― Purpose: To find the square root of adjusted sales revenue, where adjustments are made for values below a certain threshold.
• π Datasheet and formulas:
ABCD
2900010000=IF(A2<B2, SQRT(A2*1.1), SQRT(A2))95.39
31100010000=IF(A3<B3, SQRT(A3*1.1), SQRT(A3))104.88
4980010000=IF(A4<B4, SQRT(A4*1.1), SQRT(A4))99.39
• π Explanation: In this example, we adjust sales revenue values below a certain threshold (column B). If the sales revenue is below the threshold, we increase it by 10% before taking the square root. This can be useful in scenarios where certain sales figures are deemed to be underreported or need adjustments.

π’ Example 3: Square Root of Total Monthly Expenses using SUM

• π― Purpose: To determine the square root of the total monthly expenses accumulated over a quarter.
• π Datasheet and formulas:
ABCDE
1Jan ExpensesFeb ExpensesMar ExpensesSQRT FormulaResult
2400045004200=SQRT(SUM(A2:C2))92.20
3380043004100=SQRT(SUM(A3:C3))91.65
4390044004000=SQRT(SUM(A4:C4))91.29
• π Explanation: Here, we’re summing up the expenses for each month of a quarter and then finding the square root of the total. This can provide a single metric to gauge the overall expenses for a quarter, which can be helpful in financial trend analysis.

π’ Example 4: Square Root of Product of Two Numbers using PRODUCT

• π― Purpose: To find the square root of the product of two numbers.
• π Datasheet and formulas:
ABCD
1Number 1Number 2SQRT FormulaResult
21020=SQRT(PRODUCT(A2,B2))14.14
3530=SQRT(PRODUCT(A3,B3))12.25
4825=SQRT(PRODUCT(A4,B4))14.14
• π Explanation: In this example, we find the product of two numbers and then take the result’s square root. This can be useful in scenarios where the interaction of two factors is being studied, and a normalized value is required.

π’ Example 5: Square Root of Difference between Two Numbers using ABS

• π― Purpose: To determine the square root of the absolute difference between two numbers.
• π Datasheet and formulas:
ABCD
1Value 1Value 2SQRT FormulaResult
25030=SQRT(ABS(A2-B2))4.47
34060=SQRT(ABS(A3-B3))4.47
47065=SQRT(ABS(A4-B4))2.24
• π Explanation: Here, we calculate the absolute difference between two values and then find its square root. This can be useful in scenarios where the magnitude of difference, irrespective of its direction, needs to be analyzed.

π’ Example 6: Square Root of a Number Raised to a Power using POWER

• π― Purpose: To find the square root of a number raised to a specific power.
• π Datasheet and formulas:
ABCD
1BaseExponentSQRT FormulaResult
223=SQRT(POWER(A2,B2))2.83
332=SQRT(POWER(A3,B3))3
442=SQRT(POWER(A4,B4))4
• π Explanation: In this scenario, we’re raising a number to a specific power and then finding the square root of the result. This can be useful in advanced mathematical modeling and analysis.

π’ Example 7: Square Root of a Number Divided by Another using DIVIDE

• π― Purpose: To determine the square root of the result of one number divided by another.
• π Datasheet and formulas:
ABCD
1NumeratorDenominatorSQRT FormulaResult
21004=SQRT(A2/B2)5
314412=SQRT(A3/B3)3.46
4819=SQRT(A4/B4)3
• π Explanation: Here, we divide one number by another and then take the quotient’s square root. This can be useful in scenarios where ratios or proportions are analyzed, and a normalized value is desired.

π’ Example 8: Square Root of the Modulus using MOD

• π― Purpose: To find the square root of the modulus (remainder) when one number is divided by another.
• π Datasheet and formulas:
ABCD
1DividendDivisorSQRT FormulaResult
2103=SQRT(MOD(A2,B2))1
3154=SQRT(MOD(A3,B3))1.73
4206=SQRT(MOD(A4,B4))2
• π Explanation: In this example, we find the modulus when dividing one number by another and then taking the square root of the remainder. This can be useful in modular arithmetic and other mathematical scenarios where remainders are crucial.

π Part 3: Tips and tricks

1. π« Always ensure the number you’re trying to find the square root for is positive to avoid the #NUM! error.
2. β You can use the ABS function with SQRT to handle negative numbers and avoid errors.
3. π The SQRT function can be combined with other Excel functions for more complex calculations and analyses.
4. π Regularly check for updates and additional functionalities Microsoft provides for the SQRT function.