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What is the Square Root of 27097?

The square root of 27097 is 164.6116642283. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27097 = 164.6116642283
CalculatedNon-perfect squareIrrational
Exact form√27097
Perfect squareNo
Number typeIrrational
Verification164.61166422832 ≈ 27097

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How the answer is calculated

We solve x2 = 27097. The resulting value is x = 164.6116642283.

Verification: 164.61166422832 ≈ 27097.

Simplified radical form

The square root of 27097 in simplified radical form is 7√553.

This is equivalent to √27097, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27094164.6025516206
√27095164.6055892125
√27096164.6086267484
√27097164.6116642283
√27098164.6147016521
√27099164.6177390198
√27100164.6207763315

Number properties

Is 27097 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27097 is irrational because 27097 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 27097.