What is the Square Root of 996?

The square root of 996 is 31.5594676761. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√996 = 31.5594676761
CalculatedNon-perfect squareIrrational
Exact form√996
Perfect squareNo
Number typeIrrational
Verification31.55946767612 ≈ 996

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How the answer is calculated

We solve x2 = 996. The resulting value is x = 31.5594676761.

Verification: 31.55946767612 ≈ 996.

Simplified radical form

The square root of 996 in simplified radical form is 2√249.

This is equivalent to √996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√99331.5119025132
√99431.5277655409
√99531.5436205912
√99631.5594676761
√99731.5753068077
√99831.5911379979
√99931.6069612586

Number properties

Is 996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√996 is irrational because 996 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 996.