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What is the Square Root of 13713?

The square root of 13713 is 117.1025191872. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13713 = 117.1025191872
CalculatedNon-perfect squareIrrational
Exact form√13713
Perfect squareNo
Number typeIrrational
Verification117.10251918722 ≈ 13713

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How the answer is calculated

We solve x2 = 13713. The resulting value is x = 117.1025191872.

Verification: 117.10251918722 ≈ 13713.

Simplified radical form

The square root of 13713 in simplified radical form is √13713.

There are no square factors that can be taken outside the radical, so √13713 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13710117.0897091977
√13711117.0939793499
√13712117.0982493464
√13713117.1025191872
√13714117.1067888724
√13715117.1110584018
√13716117.1153277757

Number properties

Is 13713 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13713 is irrational because 13713 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 13713.