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What is the Square Root of 29466?

The square root of 29466 is 171.656634011. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29466 = 171.656634011
CalculatedNon-perfect squareIrrational
Exact form√29466
Perfect squareNo
Number typeIrrational
Verification171.6566340112 ≈ 29466

On this page

How the answer is calculated

We solve x2 = 29466. The resulting value is x = 171.656634011.

Verification: 171.6566340112 ≈ 29466.

Simplified radical form

The square root of 29466 in simplified radical form is 3√3274.

This is equivalent to √29466, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29463171.6478954138
√29464171.650808329
√29465171.6537211947
√29466171.656634011
√29467171.6595467779
√29468171.6624594954
√29469171.6653721634

Number properties

Is 29466 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29466 is irrational because 29466 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 29466.