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What is the Square Root of 29729?

The square root of 29729 is 172.4209964013. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29729 = 172.4209964013
CalculatedNon-perfect squareIrrational
Exact form√29729
Perfect squareNo
Number typeIrrational
Verification172.42099640132 ≈ 29729

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How the answer is calculated

We solve x2 = 29729. The resulting value is x = 172.4209964013.

Verification: 172.42099640132 ≈ 29729.

Simplified radical form

The square root of 29729 in simplified radical form is √29729.

There are no square factors that can be taken outside the radical, so √29729 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29726172.4122965452
√29727172.415196546
√29728172.418096498
√29729172.4209964013
√29730172.4238962557
√29731172.4267960614
√29732172.4296958183

Number properties

Is 29729 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29729 is irrational because 29729 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 29729.