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What is the Square Root of 13717?

The square root of 13717 is 117.1195969938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13717 = 117.1195969938
CalculatedNon-perfect squareIrrational
Exact form√13717
Perfect squareNo
Number typeIrrational
Verification117.11959699382 ≈ 13717

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How the answer is calculated

We solve x2 = 13717. The resulting value is x = 117.1195969938.

Verification: 117.11959699382 ≈ 13717.

Simplified radical form

The square root of 13717 in simplified radical form is √13717.

There are no square factors that can be taken outside the radical, so √13717 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13714117.1067888724
√13715117.1110584018
√13716117.1153277757
√13717117.1195969938
√13718117.1238660564
√13719117.1281349634
√13720117.1324037148

Number properties

Is 13717 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13717 is irrational because 13717 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 13717.