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What is the Square Root of 29982?

The square root of 29982 is 173.1531114361. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29982 = 173.1531114361
CalculatedNon-perfect squareIrrational
Exact form√29982
Perfect squareNo
Number typeIrrational
Verification173.15311143612 ≈ 29982

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How the answer is calculated

We solve x2 = 29982. The resulting value is x = 173.1531114361.

Verification: 173.15311143612 ≈ 29982.

Simplified radical form

The square root of 29982 in simplified radical form is √29982.

There are no square factors that can be taken outside the radical, so √29982 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29979173.1444483661
√29980173.1473361043
√29981173.1502237943
√29982173.1531114361
√29983173.1559990298
√29984173.1588865753
√29985173.1617740727

Number properties

Is 29982 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29982 is irrational because 29982 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 29982.