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What is the Square Root of 21457?

The square root of 21457 is 146.4820808154. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21457 = 146.4820808154
CalculatedNon-perfect squareIrrational
Exact form√21457
Perfect squareNo
Number typeIrrational
Verification146.48208081542 ≈ 21457

On this page

How the answer is calculated

We solve x2 = 21457. The resulting value is x = 146.4820808154.

Verification: 146.48208081542 ≈ 21457.

Simplified radical form

The square root of 21457 in simplified radical form is √21457.

There are no square factors that can be taken outside the radical, so √21457 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21454146.471840297
√21455146.4752538827
√21456146.4786673888
√21457146.4820808154
√21458146.4854941624
√21459146.4889074299
√21460146.4923206178

Number properties

Is 21457 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21457 is irrational because 21457 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 21457.