What is the Square Root of 27320?

The square root of 27320 is 165.2876280912. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27320 = 165.2876280912
CalculatedNon-perfect squareIrrational
Exact form√27320
Perfect squareNo
Number typeIrrational
Verification165.28762809122 ≈ 27320

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How the answer is calculated

We solve x2 = 27320. The resulting value is x = 165.2876280912.

Verification: 165.28762809122 ≈ 27320.

Simplified radical form

The square root of 27320 in simplified radical form is 2√6830.

This is equivalent to √27320, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27317165.2785527526
√27318165.2815779208
√27319165.2846030337
√27320165.2876280912
√27321165.2906530933
√27322165.29367804
√27323165.2967029314

Number properties

Is 27320 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27320 is irrational because 27320 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 27320.