What is the Square Root of 999?

The square root of 999 is 31.6069612586. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√999 = 31.6069612586
CalculatedNon-perfect squareIrrational
Exact form√999
Perfect squareNo
Number typeIrrational
Verification31.60696125862 ≈ 999

On this page

How the answer is calculated

We solve x2 = 999. The resulting value is x = 31.6069612586.

Verification: 31.60696125862 ≈ 999.

Simplified radical form

The square root of 999 in simplified radical form is 3√111.

This is equivalent to √999, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√99631.5594676761
√99731.5753068077
√99831.5911379979
√99931.6069612586
√100031.6227766017
√100131.6385840391
√100231.6543835827

Number properties

Is 999 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√999 is irrational because 999 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 999.