What is the Square Root of 13496?

The square root of 13496 is 116.1722858517. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13496 = 116.1722858517
CalculatedNon-perfect squareIrrational
Exact form√13496
Perfect squareNo
Number typeIrrational
Verification116.17228585172 ≈ 13496

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How the answer is calculated

We solve x2 = 13496. The resulting value is x = 116.1722858517.

Verification: 116.17228585172 ≈ 13496.

Simplified radical form

The square root of 13496 in simplified radical form is 2√3374.

This is equivalent to √13496, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13493116.1593732765
√13494116.1636776277
√13495116.1679818194
√13496116.1722858517
√13497116.1765897244
√13498116.1808934378
√13499116.1851969917

Number properties

Is 13496 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13496 is irrational because 13496 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 13496.