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What is the Square Root of 11664?

The square root of 11664 is 108. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11664 = 108
ExactPerfect squareRational
Exact form108
Perfect squareYes
Number typeRational
Verification1082 ≈ 11664

On this page

How the answer is calculated

We solve x2 = 11664. The resulting value is x = 108.

Verification: 1082 ≈ 11664.

Simplified radical form

The square root of 11664 in simplified radical form is 108.

There are no square factors that can be taken outside the radical, so 108 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10811664
Upper or equal10811664

Nearby square roots

NumberSquare root
√11661107.9861102179
√11662107.9907403438
√11663107.9953702711
√11664108
√11665108.0046295304
√11666108.0092588624
√11667108.0138879959

Number properties

Is 11664 a perfect square?

Yes. Its square root is the whole number 108.

Is the square root rational or irrational?

108 is rational because it is a whole number.

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 11664.