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What is the Square Root of 13748?

The square root of 13748 is 117.2518656568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13748 = 117.2518656568
CalculatedNon-perfect squareIrrational
Exact form√13748
Perfect squareNo
Number typeIrrational
Verification117.25186565682 ≈ 13748

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How the answer is calculated

We solve x2 = 13748. The resulting value is x = 117.2518656568.

Verification: 117.25186565682 ≈ 13748.

Simplified radical form

The square root of 13748 in simplified radical form is 2√3437.

This is equivalent to √13748, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13745117.2390719854
√13746117.2433366977
√13747117.2476012548
√13748117.2518656568
√13749117.2561299037
√13750117.2603939956
√13751117.2646579324

Number properties

Is 13748 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13748 is irrational because 13748 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 13748.