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What is the Square Root of 1002?

The square root of 1002 is 31.6543835827. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1002 = 31.6543835827
CalculatedNon-perfect squareIrrational
Exact form√1002
Perfect squareNo
Number typeIrrational
Verification31.65438358272 ≈ 1002

On this page

How the answer is calculated

We solve x2 = 1002. The resulting value is x = 31.6543835827.

Verification: 31.65438358272 ≈ 1002.

Simplified radical form

The square root of 1002 in simplified radical form is √1002.

There are no square factors that can be taken outside the radical, so √1002 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√99931.6069612586
√100031.6227766017
√100131.6385840391
√100231.6543835827
√100331.6701752442
√100431.6859590355
√100531.7017349683

Number properties

Is 1002 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1002 is irrational because 1002 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 1002.