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What is the Square Root of 13734?

The square root of 13734 is 117.1921499077. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13734 = 117.1921499077
CalculatedNon-perfect squareIrrational
Exact form√13734
Perfect squareNo
Number typeIrrational
Verification117.19214990772 ≈ 13734

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How the answer is calculated

We solve x2 = 13734. The resulting value is x = 117.1921499077.

Verification: 117.19214990772 ≈ 13734.

Simplified radical form

The square root of 13734 in simplified radical form is 3√1526.

This is equivalent to √13734, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13731117.1793497166
√13732117.1836166023
√13733117.1878833327
√13734117.1921499077
√13735117.1964163275
√13736117.2006825919
√13737117.204948701

Number properties

Is 13734 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13734 is irrational because 13734 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 13734.