What is the Square Root of 29424?

The square root of 29424 is 171.5342531391. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29424 = 171.5342531391
CalculatedNon-perfect squareIrrational
Exact form√29424
Perfect squareNo
Number typeIrrational
Verification171.53425313912 ≈ 29424

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How the answer is calculated

We solve x2 = 29424. The resulting value is x = 171.5342531391.

Verification: 171.53425313912 ≈ 29424.

Simplified radical form

The square root of 29424 in simplified radical form is 4√1839.

This is equivalent to √29424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29421171.5255083071
√29422171.5284233006
√29423171.5313382446
√29424171.5342531391
√29425171.5371679841
√29426171.5400827795
√29427171.5429975254

Number properties

Is 29424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29424 is irrational because 29424 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 29424.