What is the Square Root of 29468?

The square root of 29468 is 171.6624594954. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29468 = 171.6624594954
CalculatedNon-perfect squareIrrational
Exact form√29468
Perfect squareNo
Number typeIrrational
Verification171.66245949542 ≈ 29468

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How the answer is calculated

We solve x2 = 29468. The resulting value is x = 171.6624594954.

Verification: 171.66245949542 ≈ 29468.

Simplified radical form

The square root of 29468 in simplified radical form is 2√7367.

This is equivalent to √29468, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29465171.6537211947
√29466171.656634011
√29467171.6595467779
√29468171.6624594954
√29469171.6653721634
√29470171.668284782
√29471171.6711973512

Number properties

Is 29468 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29468 is irrational because 29468 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 29468.