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What is the Square Root of 13741?

The square root of 13741 is 117.2220115849. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13741 = 117.2220115849
CalculatedNon-perfect squareIrrational
Exact form√13741
Perfect squareNo
Number typeIrrational
Verification117.22201158492 ≈ 13741

On this page

How the answer is calculated

We solve x2 = 13741. The resulting value is x = 117.2220115849.

Verification: 117.22201158492 ≈ 13741.

Simplified radical form

The square root of 13741 in simplified radical form is √13741.

There are no square factors that can be taken outside the radical, so √13741 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13738117.2092146548
√13739117.2134804534
√13740117.2177460967
√13741117.2220115849
√13742117.2262769178
√13743117.2305420955
√13744117.234807118

Number properties

Is 13741 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13741 is irrational because 13741 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 13741.