What is the Square Root of 29364?

The square root of 29364 is 171.3592717071. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29364 = 171.3592717071
CalculatedNon-perfect squareIrrational
Exact form√29364
Perfect squareNo
Number typeIrrational
Verification171.35927170712 ≈ 29364

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How the answer is calculated

We solve x2 = 29364. The resulting value is x = 171.3592717071.

Verification: 171.35927170712 ≈ 29364.

Simplified radical form

The square root of 29364 in simplified radical form is 2√7341.

This is equivalent to √29364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29361171.3505179449
√29362171.3534359154
√29363171.3563538361
√29364171.3592717071
√29365171.3621895285
√29366171.3651073002
√29367171.3680250222

Number properties

Is 29364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29364 is irrational because 29364 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 29364.