SQRT

Math & Trigonometry Functions

(4.8/5)

Returns the positive square root of a number. Essential for distance calculations (Pythagorean theorem), statistical analysis (standard deviation), engineering calculations, and scientific computations.

Interactive Formula Tester

Number:

Formula:

=SQRT("16")

Complete Theory & Understanding

Master the fundamentals of Excel SQRT function

Core Concept

The SQRT function returns the positive square root of a number. It's mathematically equivalent to raising a number to the power of 0.5 (POWER(number, 0.5)), but SQRT is faster and more readable. SQRT is essential for distance calculations using the Pythagorean theorem, statistical analysis (standard deviation), engineering calculations, and scientific computations.

Why Use SQRT?

Calculate distances using Pythagorean theorem
Calculate standard deviation and variance
Perform engineering and scientific computations
Use in financial calculations and modeling

Key Characteristics

Positive Root

Always returns positive square root

SQRT(16) = 4 (not -4)

Non-Negative Domain

Only works with non-negative numbers

SQRT(-4) = #NUM! error

POWER Equivalent

Equivalent to POWER(number, 0.5)

SQRT(16) = POWER(16, 0.5)

Faster Than POWER

SQRT is faster than POWER(number, 0.5)

Use SQRT for square roots

Function Anatomy

=SQRT(parameters...)

Required

Parameters:

Function-specific parameters

Returns

Return Value:

Function-specific return type

Primary Use Cases

Distance Calculations

Calculate distances using Pythagorean theorem

Statistical Analysis

Calculate standard deviation and variance

Engineering Calculations

Perform engineering and scientific computations

Financial Modeling

Use in financial calculations and modeling

Theory Summary

Precise

Exact matching required

Position-Based

Returns numeric position

Error-Safe

Handles missing text gracefully

Syntax & Parameters

=SQRT(number)

Required

number:

The number for which you want the square root. Must be non-negative (≥ 0).

Returns

Return Value:

The positive square root of the number

Description: Returns the positive square root of a number. Equivalent to POWER(number, 0.5).

Interactive Examples

Basic SQRT

Calculate square root

Input Text:

"16"

Formula:

=SQRT(16)

Result:

Returns 4 because √16 = 4. SQRT always returns the positive square root (principal root).

VBA Implementation & Automation

Basic SQRT in VBA

Use SQRT function in VBA to calculate square roots

' Basic SQRT in VBA
Range("C1").Value = Application.WorksheetFunction.Sqrt(16)
' Returns: 4

' Calculate distance using Pythagorean theorem
Sub CalculateDistance()
    Dim side1 As Double, side2 As Double
    Dim distance As Double
    side1 = Range("A1").Value
    side2 = Range("B1").Value
    distance = Application.WorksheetFunction.Sqrt(side1 ^ 2 + side2 ^ 2)
    Range("C1").Value = distance
End Sub

' Calculate square root with error handling
Sub SafeSQRT()
    Dim number As Double
    number = Range("A1").Value
    If number < 0 Then
        Range("B1").Value = "#NUM!"
    Else
        Range("B1").Value = Application.WorksheetFunction.Sqrt(number)
    End If
End Sub

' Calculate square roots for range
Sub CalculateSQRTs()
    Dim cell As Range
    For Each cell In Range("A1:A10")
        If IsNumeric(cell.Value) And cell.Value >= 0 Then
            cell.Offset(0, 1).Value = Application.WorksheetFunction.Sqrt(cell.Value)
        End If
    Next cell
End Sub

Business Applications

Pythagorean Theorem

Calculate distance/hypotenuse

=SQRT(A1^2 + B1^2)

Standard Deviation

Calculate standard deviation

=SQRT(VAR.P(A1:A10))

Engineering Calculations

Perform engineering computations

=SQRT(Calculation)

Scientific Computations

Use in scientific calculations

=SQRT(ScientificFormula)

Common Issues & Solutions

#NUM! Error

SQRT returns #NUM! for negative numbers

=IF(A1<0, "#NUM!", SQRT(A1)) or =SQRT(ABS(A1))

Solution: Ensure the number is non-negative (≥ 0). Use ABS to handle negative values: SQRT(ABS(number)). Check for negative values in formulas.

Precision Issues

SQRT results have unexpected precision

=ROUND(SQRT(A1), 4)

Solution: Combine SQRT with ROUND for specific decimal places: ROUND(SQRT(number), digits). SQRT of irrational numbers will have many decimal places.

Use POWER Instead

Uncertainty about SQRT vs POWER(0.5)

Use SQRT(16) not POWER(16, 0.5)

Solution: SQRT is faster and clearer than POWER(number, 0.5). Always use SQRT for square roots. Use POWER for other fractional powers.

Negative Values in Formula

SQRT calculation includes negative intermediate values

=SQRT(ABS(calculation))

Solution: Check formulas that feed into SQRT. Use ABS to ensure non-negative: SQRT(ABS(calculation)) or validate: IF(result<0, "Error", SQRT(result)).