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What is the Square Root of 27088?

The square root of 27088 is 164.5843248915. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27088 = 164.5843248915
CalculatedNon-perfect squareIrrational
Exact form√27088
Perfect squareNo
Number typeIrrational
Verification164.58432489152 ≈ 27088

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How the answer is calculated

We solve x2 = 27088. The resulting value is x = 164.5843248915.

Verification: 164.58432489152 ≈ 27088.

Simplified radical form

The square root of 27088 in simplified radical form is 4√1693.

This is equivalent to √27088, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27085164.57521077
√27086164.5782488666
√27087164.5812869071
√27088164.5843248915
√27089164.5873628199
√27090164.5904006921
√27091164.5934385083

Number properties

Is 27088 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27088 is irrational because 27088 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 27088.