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What is the Square Root of 532?

The square root of 532 is 23.0651251893. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√532 = 23.0651251893
CalculatedNon-perfect squareIrrational
Exact form√532
Perfect squareNo
Number typeIrrational
Verification23.06512518932 ≈ 532

On this page

How the answer is calculated

We solve x2 = 532. The resulting value is x = 23.0651251893.

Verification: 23.06512518932 ≈ 532.

Simplified radical form

The square root of 532 in simplified radical form is 2√133.

This is equivalent to √532, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal23529
Upper or equal24576

Nearby square roots

NumberSquare root
√52923
√53023.0217288664
√53123.0434372436
√53223.0651251893
√53323.0867927612
√53423.1084400166
√53523.1300670124

Number properties

Is 532 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√532 is irrational because 532 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 532.