Square root of 480

The square root of 480 is 21.908902 (rounded to 6 decimal places). In simplest radical form it is 4√30.

Square root of 480

Pick any whole number from 1 to 10,000.

\sqrt{480} = 4\sqrt{30} \approx 21.908902

How to work it out

1
The square root of 480 is the number that multiplied by itself gives 480.
2
480 is between the perfect squares 21² = 441 and 22² = 484, so its square root is between 21 and 22.
3
Pull out the biggest square factor: 480 = 16 × 30, so
$\sqrt{480} = \sqrt{16 \times 30} = 4\sqrt{30}$
4
A calculator, or long division of digits, gives
$\sqrt{480} \approx 21.908902$

LaTeX source of the formulas on this page

\[ \sqrt{480} = 4\sqrt{30} \approx 21.908902 \]
\[ \sqrt{480} = \sqrt{16 \times 30} = 4\sqrt{30} \]
\[ \sqrt{480} \approx 21.908902 \]

What is the square root of 480?

The square root of 480 is 21.908902 (rounded to 6 decimal places). In simplest radical form it is 4√30.

Is 480 a perfect square?

No. It lies between 21² = 441 and 22² = 484.

What is 480 squared?

480 × 480 = 230400.

What is the square root of 480 rounded to 2 decimals?

21.91.