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What is the Square Root of 21321?

The square root of 21321 is 146.0171222837. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21321 = 146.0171222837
CalculatedNon-perfect squareIrrational
Exact form√21321
Perfect squareNo
Number typeIrrational
Verification146.01712228372 ≈ 21321

On this page

How the answer is calculated

We solve x2 = 21321. The resulting value is x = 146.0171222837.

Verification: 146.01712228372 ≈ 21321.

Simplified radical form

The square root of 21321 in simplified radical form is 3√2369.

This is equivalent to √21321, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21318146.0068491544
√21319146.0102736111
√21320146.0136979876
√21321146.0171222837
√21322146.0205464995
√21323146.023970635
√21324146.0273946902

Number properties

Is 21321 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21321 is irrational because 21321 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 21321.