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What is the Square Root of 17664?

The square root of 17664 is 132.9059818067. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17664 = 132.9059818067
CalculatedNon-perfect squareIrrational
Exact form√17664
Perfect squareNo
Number typeIrrational
Verification132.90598180672 ≈ 17664

On this page

How the answer is calculated

We solve x2 = 17664. The resulting value is x = 132.9059818067.

Verification: 132.90598180672 ≈ 17664.

Simplified radical form

The square root of 17664 in simplified radical form is 16√69.

This is equivalent to √17664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17661132.8946951537
√17662132.8984574779
√17663132.9022196955
√17664132.9059818067
√17665132.9097438114
√17666132.9135057095
√17667132.9172675013

Number properties

Is 17664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17664 is irrational because 17664 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 17664.