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What is the Square Root of 27297?

The square root of 27297 is 165.2180377562. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27297 = 165.2180377562
CalculatedNon-perfect squareIrrational
Exact form√27297
Perfect squareNo
Number typeIrrational
Verification165.21803775622 ≈ 27297

On this page

How the answer is calculated

We solve x2 = 27297. The resulting value is x = 165.2180377562.

Verification: 165.21803775622 ≈ 27297.

Simplified radical form

The square root of 27297 in simplified radical form is 9√337.

This is equivalent to √27297, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27294165.2089585949
√27295165.2119850374
√27296165.2150114245
√27297165.2180377562
√27298165.2210640324
√27299165.2240902532
√27300165.2271164186

Number properties

Is 27297 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27297 is irrational because 27297 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 27297.