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What is the Square Root of 15989?

The square root of 15989 is 126.447617613. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15989 = 126.447617613
CalculatedNon-perfect squareIrrational
Exact form√15989
Perfect squareNo
Number typeIrrational
Verification126.4476176132 ≈ 15989

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How the answer is calculated

We solve x2 = 15989. The resulting value is x = 126.447617613.

Verification: 126.4476176132 ≈ 15989.

Simplified radical form

The square root of 15989 in simplified radical form is √15989.

There are no square factors that can be taken outside the radical, so √15989 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√15986126.4357544368
√15987126.4397089525
√15988126.4436633446
√15989126.447617613
√15990126.4515717577
√15991126.4555257788
√15992126.4594796763

Number properties

Is 15989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15989 is irrational because 15989 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 15989.