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What is the Square Root of 21529?

The square root of 21529 is 146.7276388415. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21529 = 146.7276388415
CalculatedNon-perfect squareIrrational
Exact form√21529
Perfect squareNo
Number typeIrrational
Verification146.72763884152 ≈ 21529

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How the answer is calculated

We solve x2 = 21529. The resulting value is x = 146.7276388415.

Verification: 146.72763884152 ≈ 21529.

Simplified radical form

The square root of 21529 in simplified radical form is √21529.

There are no square factors that can be taken outside the radical, so √21529 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21526146.7174154625
√21527146.7208233347
√21528146.7242311276
√21529146.7276388415
√21530146.7310464762
√21531146.7344540318
√21532146.7378615082

Number properties

Is 21529 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21529 is irrational because 21529 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 21529.