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What is the Square Root of 13746?

The square root of 13746 is 117.2433366977. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13746 = 117.2433366977
CalculatedNon-perfect squareIrrational
Exact form√13746
Perfect squareNo
Number typeIrrational
Verification117.24333669772 ≈ 13746

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How the answer is calculated

We solve x2 = 13746. The resulting value is x = 117.2433366977.

Verification: 117.24333669772 ≈ 13746.

Simplified radical form

The square root of 13746 in simplified radical form is √13746.

There are no square factors that can be taken outside the radical, so √13746 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13743117.2305420955
√13744117.234807118
√13745117.2390719854
√13746117.2433366977
√13747117.2476012548
√13748117.2518656568
√13749117.2561299037

Number properties

Is 13746 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13746 is irrational because 13746 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 13746.