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What is the Square Root of 29478?

The square root of 29478 is 171.6915839522. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29478 = 171.6915839522
CalculatedNon-perfect squareIrrational
Exact form√29478
Perfect squareNo
Number typeIrrational
Verification171.69158395222 ≈ 29478

On this page

How the answer is calculated

We solve x2 = 29478. The resulting value is x = 171.6915839522.

Verification: 171.69158395222 ≈ 29478.

Simplified radical form

The square root of 29478 in simplified radical form is 17√102.

This is equivalent to √29478, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29475171.6828471339
√29476171.685759456
√29477171.6886717288
√29478171.6915839522
√29479171.6944961261
√29480171.6974082507
√29481171.7003203259

Number properties

Is 29478 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29478 is irrational because 29478 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 29478.