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What is the Square Root of 27996?

The square root of 27996 is 167.3200525938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27996 = 167.3200525938
CalculatedNon-perfect squareIrrational
Exact form√27996
Perfect squareNo
Number typeIrrational
Verification167.32005259382 ≈ 27996

On this page

How the answer is calculated

We solve x2 = 27996. The resulting value is x = 167.3200525938.

Verification: 167.32005259382 ≈ 27996.

Simplified radical form

The square root of 27996 in simplified radical form is 2√6999.

This is equivalent to √27996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27993167.3110874987
√27994167.3140759171
√27995167.3170642822
√27996167.3200525938
√27997167.3230408521
√27998167.326029057
√27999167.3290172086

Number properties

Is 27996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27996 is irrational because 27996 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 27996.