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What is the Square Root of 27997?

The square root of 27997 is 167.3230408521. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27997 = 167.3230408521
CalculatedNon-perfect squareIrrational
Exact form√27997
Perfect squareNo
Number typeIrrational
Verification167.32304085212 ≈ 27997

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How the answer is calculated

We solve x2 = 27997. The resulting value is x = 167.3230408521.

Verification: 167.32304085212 ≈ 27997.

Simplified radical form

The square root of 27997 in simplified radical form is √27997.

There are no square factors that can be taken outside the radical, so √27997 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27994167.3140759171
√27995167.3170642822
√27996167.3200525938
√27997167.3230408521
√27998167.326029057
√27999167.3290172086
√28000167.3320053068

Number properties

Is 27997 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27997 is irrational because 27997 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 27997.