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What is the Square Root of 21332?

The square root of 21332 is 146.0547842421. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21332 = 146.0547842421
CalculatedNon-perfect squareIrrational
Exact form√21332
Perfect squareNo
Number typeIrrational
Verification146.05478424212 ≈ 21332

On this page

How the answer is calculated

We solve x2 = 21332. The resulting value is x = 146.0547842421.

Verification: 146.05478424212 ≈ 21332.

Simplified radical form

The square root of 21332 in simplified radical form is 2√5333.

This is equivalent to √21332, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21329146.0445137621
√21330146.0479373357
√21331146.051360829
√21332146.0547842421
√21333146.0582075749
√21334146.0616308275
√21335146.0650539999

Number properties

Is 21332 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21332 is irrational because 21332 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 21332.