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What is the Square Root of 13716?

The square root of 13716 is 117.1153277757. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13716 = 117.1153277757
CalculatedNon-perfect squareIrrational
Exact form√13716
Perfect squareNo
Number typeIrrational
Verification117.11532777572 ≈ 13716

On this page

How the answer is calculated

We solve x2 = 13716. The resulting value is x = 117.1153277757.

Verification: 117.11532777572 ≈ 13716.

Simplified radical form

The square root of 13716 in simplified radical form is 6√381.

This is equivalent to √13716, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13713117.1025191872
√13714117.1067888724
√13715117.1110584018
√13716117.1153277757
√13717117.1195969938
√13718117.1238660564
√13719117.1281349634

Number properties

Is 13716 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13716 is irrational because 13716 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 13716.