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What is the Square Root of 27268?

The square root of 27268 is 165.1302516197. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27268 = 165.1302516197
CalculatedNon-perfect squareIrrational
Exact form√27268
Perfect squareNo
Number typeIrrational
Verification165.13025161972 ≈ 27268

On this page

How the answer is calculated

We solve x2 = 27268. The resulting value is x = 165.1302516197.

Verification: 165.13025161972 ≈ 27268.

Simplified radical form

The square root of 27268 in simplified radical form is 2√6817.

This is equivalent to √27268, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27265165.1211676315
√27266165.1241956831
√27267165.1272236792
√27268165.1302516197
√27269165.1332795048
√27270165.1363073343
√27271165.1393351083

Number properties

Is 27268 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27268 is irrational because 27268 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 27268.