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What is the Square Root of 21008?

The square root of 21008 is 144.9413674559. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21008 = 144.9413674559
CalculatedNon-perfect squareIrrational
Exact form√21008
Perfect squareNo
Number typeIrrational
Verification144.94136745592 ≈ 21008

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How the answer is calculated

We solve x2 = 21008. The resulting value is x = 144.9413674559.

Verification: 144.94136745592 ≈ 21008.

Simplified radical form

The square root of 21008 in simplified radical form is 4√1313.

This is equivalent to √21008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√21005144.9310180741
√21006144.9344679502
√21007144.9379177441
√21008144.9413674559
√21009144.9448170857
√21010144.9482666333
√21011144.9517160988

Number properties

Is 21008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21008 is irrational because 21008 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 21008.