What is the Square Root of 29484?

The square root of 29484 is 171.7090562551. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29484 = 171.7090562551
CalculatedNon-perfect squareIrrational
Exact form√29484
Perfect squareNo
Number typeIrrational
Verification171.70905625512 ≈ 29484

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How the answer is calculated

We solve x2 = 29484. The resulting value is x = 171.7090562551.

Verification: 171.70905625512 ≈ 29484.

Simplified radical form

The square root of 29484 in simplified radical form is 18√91.

This is equivalent to √29484, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29481171.7003203259
√29482171.7032323516
√29483171.706144328
√29484171.7090562551
√29485171.7119681327
√29486171.7148799609
√29487171.7177917398

Number properties

Is 29484 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29484 is irrational because 29484 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 29484.