What is the Square Root of 29421?

The square root of 29421 is 171.5255083071. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29421 = 171.5255083071
CalculatedNon-perfect squareIrrational
Exact form√29421
Perfect squareNo
Number typeIrrational
Verification171.52550830712 ≈ 29421

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How the answer is calculated

We solve x2 = 29421. The resulting value is x = 171.5255083071.

Verification: 171.52550830712 ≈ 29421.

Simplified radical form

The square root of 29421 in simplified radical form is 3√3269.

This is equivalent to √29421, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29418171.5167630292
√29419171.5196781713
√29420171.522593264
√29421171.5255083071
√29422171.5284233006
√29423171.5313382446
√29424171.5342531391

Number properties

Is 29421 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29421 is irrational because 29421 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 29421.