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What is the Square Root of 27234?

The square root of 27234 is 165.0272704737. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27234 = 165.0272704737
CalculatedNon-perfect squareIrrational
Exact form√27234
Perfect squareNo
Number typeIrrational
Verification165.02727047372 ≈ 27234

On this page

How the answer is calculated

We solve x2 = 27234. The resulting value is x = 165.0272704737.

Verification: 165.02727047372 ≈ 27234.

Simplified radical form

The square root of 27234 in simplified radical form is 3√3026.

This is equivalent to √27234, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27231165.0181808165
√27232165.0212107579
√27233165.0242406436
√27234165.0272704737
√27235165.0303002482
√27236165.033329967
√27237165.0363596302

Number properties

Is 27234 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27234 is irrational because 27234 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 27234.