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What is the Square Root of 15982?

The square root of 15982 is 126.4199351368. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15982 = 126.4199351368
CalculatedNon-perfect squareIrrational
Exact form√15982
Perfect squareNo
Number typeIrrational
Verification126.41993513682 ≈ 15982

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How the answer is calculated

We solve x2 = 15982. The resulting value is x = 126.4199351368.

Verification: 126.41993513682 ≈ 15982.

Simplified radical form

The square root of 15982 in simplified radical form is √15982.

There are no square factors that can be taken outside the radical, so √15982 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15979126.4080693627
√15980126.4120247445
√15981126.4159800025
√15982126.4199351368
√15983126.4238901474
√15984126.4278450342
√15985126.4317997974

Number properties

Is 15982 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15982 is irrational because 15982 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 15982.