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What is the Square Root of 21324?

The square root of 21324 is 146.0273946902. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21324 = 146.0273946902
CalculatedNon-perfect squareIrrational
Exact form√21324
Perfect squareNo
Number typeIrrational
Verification146.02739469022 ≈ 21324

On this page

How the answer is calculated

We solve x2 = 21324. The resulting value is x = 146.0273946902.

Verification: 146.02739469022 ≈ 21324.

Simplified radical form

The square root of 21324 in simplified radical form is 2√5331.

This is equivalent to √21324, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21321146.0171222837
√21322146.0205464995
√21323146.023970635
√21324146.0273946902
√21325146.0308186651
√21326146.0342425598
√21327146.0376663741

Number properties

Is 21324 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21324 is irrational because 21324 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 21324.