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What is the Square Root of 27252?

The square root of 27252 is 165.0817979064. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27252 = 165.0817979064
CalculatedNon-perfect squareIrrational
Exact form√27252
Perfect squareNo
Number typeIrrational
Verification165.08179790642 ≈ 27252

On this page

How the answer is calculated

We solve x2 = 27252. The resulting value is x = 165.0817979064.

Verification: 165.08179790642 ≈ 27252.

Simplified radical form

The square root of 27252 in simplified radical form is 6√757.

This is equivalent to √27252, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27249165.0727112517
√27250165.0757401922
√27251165.0787690771
√27252165.0817979064
√27253165.0848266801
√27254165.0878553983
√27255165.0908840609

Number properties

Is 27252 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27252 is irrational because 27252 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 27252.