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What is the Square Root of 29261?

The square root of 29261 is 171.058469536. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29261 = 171.058469536
CalculatedNon-perfect squareIrrational
Exact form√29261
Perfect squareNo
Number typeIrrational
Verification171.0584695362 ≈ 29261

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How the answer is calculated

We solve x2 = 29261. The resulting value is x = 171.058469536.

Verification: 171.0584695362 ≈ 29261.

Simplified radical form

The square root of 29261 in simplified radical form is √29261.

There are no square factors that can be taken outside the radical, so √29261 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29258171.0497003797
√29259171.0526234818
√29260171.0555465339
√29261171.058469536
√29262171.0613924882
√29263171.0643153904
√29264171.0672382427

Number properties

Is 29261 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29261 is irrational because 29261 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 29261.