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What is the Square Root of 17137?

The square root of 17137 is 130.908364897. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17137 = 130.908364897
CalculatedNon-perfect squareIrrational
Exact form√17137
Perfect squareNo
Number typeIrrational
Verification130.9083648972 ≈ 17137

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How the answer is calculated

We solve x2 = 17137. The resulting value is x = 130.908364897.

Verification: 130.9083648972 ≈ 17137.

Simplified radical form

The square root of 17137 in simplified radical form is √17137.

There are no square factors that can be taken outside the radical, so √17137 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13016900
Upper or equal13117161

Nearby square roots

NumberSquare root
√17134130.8969059986
√17135130.9007257428
√17136130.9045453756
√17137130.908364897
√17138130.9121843069
√17139130.9160036054
√17140130.9198227924

Number properties

Is 17137 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17137 is irrational because 17137 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 17137.