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What is the Square Root of 528?

The square root of 528 is 22.9782505862. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√528 = 22.9782505862
CalculatedNon-perfect squareIrrational
Exact form√528
Perfect squareNo
Number typeIrrational
Verification22.97825058622 ≈ 528

On this page

How the answer is calculated

We solve x2 = 528. The resulting value is x = 22.9782505862.

Verification: 22.97825058622 ≈ 528.

Simplified radical form

The square root of 528 in simplified radical form is 4√33.

This is equivalent to √528, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√52522.9128784748
√52622.9346898824
√52722.9564805665
√52822.9782505862
√52923
√53023.0217288664
√53123.0434372436

Number properties

Is 528 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√528 is irrational because 528 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 528.