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What is the Square Root of 27134?

The square root of 27134 is 164.7240116073. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27134 = 164.7240116073
CalculatedNon-perfect squareIrrational
Exact form√27134
Perfect squareNo
Number typeIrrational
Verification164.72401160732 ≈ 27134

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How the answer is calculated

We solve x2 = 27134. The resulting value is x = 164.7240116073.

Verification: 164.72401160732 ≈ 27134.

Simplified radical form

The square root of 27134 in simplified radical form is √27134.

There are no square factors that can be taken outside the radical, so √27134 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27131164.714905215
√27132164.7179407351
√27133164.7209761991
√27134164.7240116073
√27135164.7270469595
√27136164.7300822558
√27137164.7331174961

Number properties

Is 27134 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27134 is irrational because 27134 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 27134.