Square root of 4320

The square root of 4320 is 65.726707 (rounded to 6 decimal places). In simplest radical form it is 12√30.

Square root of 4320

Pick any whole number from 1 to 10,000.

\sqrt{4320} = 12\sqrt{30} \approx 65.726707

How to work it out

1
The square root of 4320 is the number that multiplied by itself gives 4320.
2
4320 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4320 = 144 × 30, so
$\sqrt{4320} = \sqrt{144 \times 30} = 12\sqrt{30}$
4
A calculator, or long division of digits, gives
$\sqrt{4320} \approx 65.726707$

LaTeX source of the formulas on this page

\[ \sqrt{4320} = 12\sqrt{30} \approx 65.726707 \]
\[ \sqrt{4320} = \sqrt{144 \times 30} = 12\sqrt{30} \]
\[ \sqrt{4320} \approx 65.726707 \]

What is the square root of 4320?

The square root of 4320 is 65.726707 (rounded to 6 decimal places). In simplest radical form it is 12√30.

Is 4320 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4320 squared?

4320 × 4320 = 18662400.

What is the square root of 4320 rounded to 2 decimals?

65.73.