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What is the Square Root of 4320?

The square root of 4320 is 65.7267069006. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4320 = 65.7267069006
CalculatedNon-perfect squareIrrational
Exact form√4320
Perfect squareNo
Number typeIrrational
Verification65.72670690062 ≈ 4320

On this page

How the answer is calculated

We solve x2 = 4320. The resulting value is x = 65.7267069006.

Verification: 65.72670690062 ≈ 4320.

Simplified radical form

The square root of 4320 in simplified radical form is 12√30.

This is equivalent to √4320, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal654225
Upper or equal664356

Nearby square roots

NumberSquare root
√431765.7038811639
√431865.7114906238
√431965.7190992026
√432065.7267069006
√432165.7343137182
√432265.7419196556
√432365.7495247131

Number properties

Is 4320 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4320 is irrational because 4320 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 4320.