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What is the Square Root of 27991?

The square root of 27991 is 167.3051105017. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27991 = 167.3051105017
CalculatedNon-perfect squareIrrational
Exact form√27991
Perfect squareNo
Number typeIrrational
Verification167.30511050172 ≈ 27991

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How the answer is calculated

We solve x2 = 27991. The resulting value is x = 167.3051105017.

Verification: 167.30511050172 ≈ 27991.

Simplified radical form

The square root of 27991 in simplified radical form is √27991.

There are no square factors that can be taken outside the radical, so √27991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27988167.2961446059
√27989167.2991332912
√27990167.3021219232
√27991167.3051105017
√27992167.3080990269
√27993167.3110874987
√27994167.3140759171

Number properties

Is 27991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27991 is irrational because 27991 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 27991.