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What is the Square Root of 29684?

The square root of 29684 is 172.2904524343. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29684 = 172.2904524343
CalculatedNon-perfect squareIrrational
Exact form√29684
Perfect squareNo
Number typeIrrational
Verification172.29045243432 ≈ 29684

On this page

How the answer is calculated

We solve x2 = 29684. The resulting value is x = 172.2904524343.

Verification: 172.29045243432 ≈ 29684.

Simplified radical form

The square root of 29684 in simplified radical form is 2√7421.

This is equivalent to √29684, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29681172.281745986
√29682172.2846481843
√29683172.2875503337
√29684172.2904524343
√29685172.2933544859
√29686172.2962564886
√29687172.2991584425

Number properties

Is 29684 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29684 is irrational because 29684 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 29684.