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What is the Square Root of 27264?

The square root of 27264 is 165.1181395244. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27264 = 165.1181395244
CalculatedNon-perfect squareIrrational
Exact form√27264
Perfect squareNo
Number typeIrrational
Verification165.11813952442 ≈ 27264

On this page

How the answer is calculated

We solve x2 = 27264. The resulting value is x = 165.1181395244.

Verification: 165.11813952442 ≈ 27264.

Simplified radical form

The square root of 27264 in simplified radical form is 8√426.

This is equivalent to √27264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27261165.1090548698
√27262165.1120831435
√27263165.1151113617
√27264165.1181395244
√27265165.1211676315
√27266165.1241956831
√27267165.1272236792

Number properties

Is 27264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27264 is irrational because 27264 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 27264.