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What is the Square Root of 27989?

The square root of 27989 is 167.2991332912. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27989 = 167.2991332912
CalculatedNon-perfect squareIrrational
Exact form√27989
Perfect squareNo
Number typeIrrational
Verification167.29913329122 ≈ 27989

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How the answer is calculated

We solve x2 = 27989. The resulting value is x = 167.2991332912.

Verification: 167.29913329122 ≈ 27989.

Simplified radical form

The square root of 27989 in simplified radical form is √27989.

There are no square factors that can be taken outside the radical, so √27989 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27986167.2901670751
√27987167.2931558672
√27988167.2961446059
√27989167.2991332912
√27990167.3021219232
√27991167.3051105017
√27992167.3080990269

Number properties

Is 27989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27989 is irrational because 27989 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 27989.