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What is the Square Root of 331?

The square root of 331 is 18.1934053987. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√331 = 18.1934053987
CalculatedNon-perfect squareIrrational
Exact form√331
Perfect squareNo
Number typeIrrational
Verification18.19340539872 ≈ 331

On this page

How the answer is calculated

We solve x2 = 331. The resulting value is x = 18.1934053987.

Verification: 18.19340539872 ≈ 331.

Simplified radical form

The square root of 331 in simplified radical form is √331.

There are no square factors that can be taken outside the radical, so √331 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√32818.1107702763
√32918.1383571472
√33018.1659021246
√33118.1934053987
√33218.2208671583
√33318.2482875909
√33418.2756668825

Number properties

Is 331 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√331 is irrational because 331 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 331.