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What is the Square Root of 21508?

The square root of 21508 is 146.6560602225. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21508 = 146.6560602225
CalculatedNon-perfect squareIrrational
Exact form√21508
Perfect squareNo
Number typeIrrational
Verification146.65606022252 ≈ 21508

On this page

How the answer is calculated

We solve x2 = 21508. The resulting value is x = 146.6560602225.

Verification: 146.65606022252 ≈ 21508.

Simplified radical form

The square root of 21508 in simplified radical form is 2√5377.

This is equivalent to √21508, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21505146.6458318535
√21506146.6492413891
√21507146.6526508455
√21508146.6560602225
√21509146.6594695204
√21510146.662878739
√21511146.6662878783

Number properties

Is 21508 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21508 is irrational because 21508 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 21508.