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What is the Square Root of 21456?

The square root of 21456 is 146.4786673888. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21456 = 146.4786673888
CalculatedNon-perfect squareIrrational
Exact form√21456
Perfect squareNo
Number typeIrrational
Verification146.47866738882 ≈ 21456

On this page

How the answer is calculated

We solve x2 = 21456. The resulting value is x = 146.4786673888.

Verification: 146.47866738882 ≈ 21456.

Simplified radical form

The square root of 21456 in simplified radical form is 12√149.

This is equivalent to √21456, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21453146.4684266318
√21454146.471840297
√21455146.4752538827
√21456146.4786673888
√21457146.4820808154
√21458146.4854941624
√21459146.4889074299

Number properties

Is 21456 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21456 is irrational because 21456 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 21456.