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What is the Square Root of 29664?

The square root of 29664 is 172.2324011329. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29664 = 172.2324011329
CalculatedNon-perfect squareIrrational
Exact form√29664
Perfect squareNo
Number typeIrrational
Verification172.23240113292 ≈ 29664

On this page

How the answer is calculated

We solve x2 = 29664. The resulting value is x = 172.2324011329.

Verification: 172.23240113292 ≈ 29664.

Simplified radical form

The square root of 29664 in simplified radical form is 12√206.

This is equivalent to √29664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29661172.22369175
√29662172.2265949266
√29663172.2294980542
√29664172.2324011329
√29665172.2353041626
√29666172.2382071435
√29667172.2411100754

Number properties

Is 29664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29664 is irrational because 29664 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 29664.