What is the Square Root of 29520?

The square root of 29520 is 171.8138527593. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29520 = 171.8138527593
CalculatedNon-perfect squareIrrational
Exact form√29520
Perfect squareNo
Number typeIrrational
Verification171.81385275932 ≈ 29520

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How the answer is calculated

We solve x2 = 29520. The resulting value is x = 171.8138527593.

Verification: 171.81385275932 ≈ 29520.

Simplified radical form

The square root of 29520 in simplified radical form is 12√205.

This is equivalent to √29520, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29517171.8051221588
√29518171.8080324083
√29519171.8109426084
√29520171.8138527593
√29521171.8167628609
√29522171.8196729132
√29523171.8225829162

Number properties

Is 29520 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29520 is irrational because 29520 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 29520.