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What is the Square Root of 11696?

The square root of 11696 is 108.1480466768. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11696 = 108.1480466768
CalculatedNon-perfect squareIrrational
Exact form√11696
Perfect squareNo
Number typeIrrational
Verification108.14804667682 ≈ 11696

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How the answer is calculated

We solve x2 = 11696. The resulting value is x = 108.1480466768.

Verification: 108.14804667682 ≈ 11696.

Simplified radical form

The square root of 11696 in simplified radical form is 4√731.

This is equivalent to √11696, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10811664
Upper or equal10911881

Nearby square roots

NumberSquare root
√11693108.1341759112
√11694108.1387996974
√11695108.1434232859
√11696108.1480466768
√11697108.15266987
√11698108.1572928655
√11699108.1619156635

Number properties

Is 11696 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11696 is irrational because 11696 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 11696.