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What is the Square Root of 508?

The square root of 508 is 22.5388553392. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√508 = 22.5388553392
CalculatedNon-perfect squareIrrational
Exact form√508
Perfect squareNo
Number typeIrrational
Verification22.53885533922 ≈ 508

On this page

How the answer is calculated

We solve x2 = 508. The resulting value is x = 22.5388553392.

Verification: 22.53885533922 ≈ 508.

Simplified radical form

The square root of 508 in simplified radical form is 2√127.

This is equivalent to √508, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√50522.4722050542
√50622.4944437584
√50722.5166604984
√50822.5388553392
√50922.5610283454
√51022.5831795813
√51122.6053091109

Number properties

Is 508 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√508 is irrational because 508 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 508.