What is the Square Root of 987?

The square root of 987 is 31.4165561448. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√987 = 31.4165561448
CalculatedNon-perfect squareIrrational
Exact form√987
Perfect squareNo
Number typeIrrational
Verification31.41655614482 ≈ 987

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How the answer is calculated

We solve x2 = 987. The resulting value is x = 31.4165561448.

Verification: 31.41655614482 ≈ 987.

Simplified radical form

The square root of 987 in simplified radical form is √987.

There are no square factors that can be taken outside the radical, so √987 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal31961
Upper or equal321024

Nearby square roots

NumberSquare root
√98431.3687742827
√98531.384709653
√98631.4006369362
√98731.4165561448
√98831.432467291
√98931.448370387
√99031.4642654451

Number properties

Is 987 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√987 is irrational because 987 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 987.