What is the Square Root of 992?

The square root of 992 is 31.496031496. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√992 = 31.496031496
CalculatedNon-perfect squareIrrational
Exact form√992
Perfect squareNo
Number typeIrrational
Verification31.4960314962 ≈ 992

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How the answer is calculated

We solve x2 = 992. The resulting value is x = 31.496031496.

Verification: 31.4960314962 ≈ 992.

Simplified radical form

The square root of 992 in simplified radical form is 4√62.

This is equivalent to √992, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√98931.448370387
√99031.4642654451
√99131.4801524774
√99231.496031496
√99331.5119025132
√99431.5277655409
√99531.5436205912

Number properties

Is 992 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√992 is irrational because 992 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 992.