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What is the Square Root of 13996?

The square root of 13996 is 118.3046913694. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13996 = 118.3046913694
CalculatedNon-perfect squareIrrational
Exact form√13996
Perfect squareNo
Number typeIrrational
Verification118.30469136942 ≈ 13996

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How the answer is calculated

We solve x2 = 13996. The resulting value is x = 118.3046913694.

Verification: 118.30469136942 ≈ 13996.

Simplified radical form

The square root of 13996 in simplified radical form is 2√3499.

This is equivalent to √13996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13993118.2920115646
√13994118.2962383172
√13995118.3004649188
√13996118.3046913694
√13997118.308917669
√13998118.3131438176
√13999118.3173698153

Number properties

Is 13996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13996 is irrational because 13996 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 13996.