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What is the Square Root of 27120?

The square root of 27120 is 164.6815108019. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27120 = 164.6815108019
CalculatedNon-perfect squareIrrational
Exact form√27120
Perfect squareNo
Number typeIrrational
Verification164.68151080192 ≈ 27120

On this page

How the answer is calculated

We solve x2 = 27120. The resulting value is x = 164.6815108019.

Verification: 164.68151080192 ≈ 27120.

Simplified radical form

The square root of 27120 in simplified radical form is 4√1695.

This is equivalent to √27120, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27117164.6724020594
√27118164.6754383629
√27119164.6784746104
√27120164.6815108019
√27121164.6845469375
√27122164.6875830171
√27123164.6906190407

Number properties

Is 27120 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27120 is irrational because 27120 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 27120.