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What is the Square Root of 29361?

The square root of 29361 is 171.3505179449. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29361 = 171.3505179449
CalculatedNon-perfect squareIrrational
Exact form√29361
Perfect squareNo
Number typeIrrational
Verification171.35051794492 ≈ 29361

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How the answer is calculated

We solve x2 = 29361. The resulting value is x = 171.3505179449.

Verification: 171.35051794492 ≈ 29361.

Simplified radical form

The square root of 29361 in simplified radical form is √29361.

There are no square factors that can be taken outside the radical, so √29361 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29358171.3417637355
√29359171.344681855
√29360171.3475999248
√29361171.3505179449
√29362171.3534359154
√29363171.3563538361
√29364171.3592717071

Number properties

Is 29361 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29361 is irrational because 29361 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 29361.