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What is the Square Root of 27136?

The square root of 27136 is 164.7300822558. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27136 = 164.7300822558
CalculatedNon-perfect squareIrrational
Exact form√27136
Perfect squareNo
Number typeIrrational
Verification164.73008225582 ≈ 27136

On this page

How the answer is calculated

We solve x2 = 27136. The resulting value is x = 164.7300822558.

Verification: 164.73008225582 ≈ 27136.

Simplified radical form

The square root of 27136 in simplified radical form is 16√106.

This is equivalent to √27136, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27133164.7209761991
√27134164.7240116073
√27135164.7270469595
√27136164.7300822558
√27137164.7331174961
√27138164.7361526806
√27139164.7391878091

Number properties

Is 27136 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27136 is irrational because 27136 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 27136.