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What is the Square Root of 432?

The square root of 432 is 20.7846096908. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√432 = 20.7846096908
CalculatedNon-perfect squareIrrational
Exact form√432
Perfect squareNo
Number typeIrrational
Verification20.78460969082 ≈ 432

On this page

How the answer is calculated

We solve x2 = 432. The resulting value is x = 20.7846096908.

Verification: 20.78460969082 ≈ 432.

Simplified radical form

The square root of 432 in simplified radical form is 12√3.

This is equivalent to √432, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√42920.7123151772
√43020.7364413533
√43120.760539492
√43220.7846096908
√43320.8086520467
√43420.832666656
√43520.8566536146

Number properties

Is 432 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√432 is irrational because 432 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 432.