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What is the Square Root of 13722?

The square root of 13722 is 117.1409407509. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13722 = 117.1409407509
CalculatedNon-perfect squareIrrational
Exact form√13722
Perfect squareNo
Number typeIrrational
Verification117.14094075092 ≈ 13722

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How the answer is calculated

We solve x2 = 13722. The resulting value is x = 117.1409407509.

Verification: 117.14094075092 ≈ 13722.

Simplified radical form

The square root of 13722 in simplified radical form is √13722.

There are no square factors that can be taken outside the radical, so √13722 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13719117.1281349634
√13720117.1324037148
√13721117.1366723106
√13722117.1409407509
√13723117.1452090356
√13724117.1494771649
√13725117.1537451386

Number properties

Is 13722 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13722 is irrational because 13722 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 13722.