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What is the Square Root of 29472?

The square root of 29472 is 171.674109871. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29472 = 171.674109871
CalculatedNon-perfect squareIrrational
Exact form√29472
Perfect squareNo
Number typeIrrational
Verification171.6741098712 ≈ 29472

On this page

How the answer is calculated

We solve x2 = 29472. The resulting value is x = 171.674109871.

Verification: 171.6741098712 ≈ 29472.

Simplified radical form

The square root of 29472 in simplified radical form is 4√1842.

This is equivalent to √29472, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29469171.6653721634
√29470171.668284782
√29471171.6711973512
√29472171.674109871
√29473171.6770223414
√29474171.6799347623
√29475171.6828471339

Number properties

Is 29472 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29472 is irrational because 29472 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 29472.