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What is the Square Root of 21339?

The square root of 21339 is 146.0787458873. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21339 = 146.0787458873
CalculatedNon-perfect squareIrrational
Exact form√21339
Perfect squareNo
Number typeIrrational
Verification146.07874588732 ≈ 21339

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How the answer is calculated

We solve x2 = 21339. The resulting value is x = 146.0787458873.

Verification: 146.07874588732 ≈ 21339.

Simplified radical form

The square root of 21339 in simplified radical form is 3√2371.

This is equivalent to √21339, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21336146.0684770921
√21337146.071900104
√21338146.0753230358
√21339146.0787458873
√21340146.0821686586
√21341146.0855913497
√21342146.0890139607

Number properties

Is 21339 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21339 is irrational because 21339 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 21339.