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What is the Square Root of 13696?

The square root of 13696 is 117.0299107066. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13696 = 117.0299107066
CalculatedNon-perfect squareIrrational
Exact form√13696
Perfect squareNo
Number typeIrrational
Verification117.02991070662 ≈ 13696

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How the answer is calculated

We solve x2 = 13696. The resulting value is x = 117.0299107066.

Verification: 117.02991070662 ≈ 13696.

Simplified radical form

The square root of 13696 in simplified radical form is 8√214.

This is equivalent to √13696, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13693117.0170927685
√13694117.0213655706
√13695117.0256382166
√13696117.0299107066
√13697117.0341830407
√13698117.0384552188
√13699117.042727241

Number properties

Is 13696 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13696 is irrational because 13696 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 13696.