What is the Square Root of 27360?

The square root of 27360 is 165.4085850251. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27360 = 165.4085850251
CalculatedNon-perfect squareIrrational
Exact form√27360
Perfect squareNo
Number typeIrrational
Verification165.40858502512 ≈ 27360

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How the answer is calculated

We solve x2 = 27360. The resulting value is x = 165.4085850251.

Verification: 165.40858502512 ≈ 27360.

Simplified radical form

The square root of 27360 in simplified radical form is 12√190.

This is equivalent to √27360, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27357165.3995163234
√27358165.4025392792
√27359165.4055621798
√27360165.4085850251
√27361165.4116078152
√27362165.41463055
√27363165.4176532296

Number properties

Is 27360 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27360 is irrational because 27360 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 27360.