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What is the Square Root of 8529?

The square root of 8529 is 92.3525852372. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8529 = 92.3525852372
CalculatedNon-perfect squareIrrational
Exact form√8529
Perfect squareNo
Number typeIrrational
Verification92.35258523722 ≈ 8529

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How the answer is calculated

We solve x2 = 8529. The resulting value is x = 92.3525852372.

Verification: 92.35258523722 ≈ 8529.

Simplified radical form

The square root of 8529 in simplified radical form is √8529.

There are no square factors that can be taken outside the radical, so √8529 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal928464
Upper or equal938649

Nearby square roots

NumberSquare root
√852692.3363417079
√852792.3417565352
√852892.3471710449
√852992.3525852372
√853092.3579991122
√853192.3634126697
√853292.36882591

Number properties

Is 8529 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8529 is irrational because 8529 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 8529.