What is the Square Root of 983?

The square root of 983 is 31.3528308132. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√983 = 31.3528308132
CalculatedNon-perfect squareIrrational
Exact form√983
Perfect squareNo
Number typeIrrational
Verification31.35283081322 ≈ 983

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How the answer is calculated

We solve x2 = 983. The resulting value is x = 31.3528308132.

Verification: 31.35283081322 ≈ 983.

Simplified radical form

The square root of 983 in simplified radical form is √983.

There are no square factors that can be taken outside the radical, so √983 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√98031.304951685
√98131.3209195267
√98231.336879232
√98331.3528308132
√98431.3687742827
√98531.384709653
√98631.4006369362

Number properties

Is 983 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√983 is irrational because 983 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 983.