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What is the Square Root of 29646?

The square root of 29646 is 172.1801382274. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29646 = 172.1801382274
CalculatedNon-perfect squareIrrational
Exact form√29646
Perfect squareNo
Number typeIrrational
Verification172.18013822742 ≈ 29646

On this page

How the answer is calculated

We solve x2 = 29646. The resulting value is x = 172.1801382274.

Verification: 172.18013822742 ≈ 29646.

Simplified radical form

The square root of 29646 in simplified radical form is 9√366.

This is equivalent to √29646, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29643172.1714262007
√29644172.1743302586
√29645172.1772342675
√29646172.1801382274
√29647172.1830421383
√29648172.1859460002
√29649172.1888498132

Number properties

Is 29646 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29646 is irrational because 29646 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 29646.