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What is the Square Root of 27093?

The square root of 27093 is 164.5995139726. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27093 = 164.5995139726
CalculatedNon-perfect squareIrrational
Exact form√27093
Perfect squareNo
Number typeIrrational
Verification164.59951397262 ≈ 27093

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How the answer is calculated

We solve x2 = 27093. The resulting value is x = 164.5995139726.

Verification: 164.59951397262 ≈ 27093.

Simplified radical form

The square root of 27093 in simplified radical form is √27093.

There are no square factors that can be taken outside the radical, so √27093 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27090164.5904006921
√27091164.5934385083
√27092164.5964762685
√27093164.5995139726
√27094164.6025516206
√27095164.6055892125
√27096164.6086267484

Number properties

Is 27093 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27093 is irrational because 27093 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 27093.