Square root of 240

The square root of 240 is 15.491933 (rounded to 6 decimal places). In simplest radical form it is 4√15.

Square root of 240

Pick any whole number from 1 to 10,000.

\sqrt{240} = 4\sqrt{15} \approx 15.491933

How to work it out

1
The square root of 240 is the number that multiplied by itself gives 240.
2
240 is between the perfect squares 15² = 225 and 16² = 256, so its square root is between 15 and 16.
3
Pull out the biggest square factor: 240 = 16 × 15, so
$\sqrt{240} = \sqrt{16 \times 15} = 4\sqrt{15}$
4
A calculator, or long division of digits, gives
$\sqrt{240} \approx 15.491933$

LaTeX source of the formulas on this page

\[ \sqrt{240} = 4\sqrt{15} \approx 15.491933 \]
\[ \sqrt{240} = \sqrt{16 \times 15} = 4\sqrt{15} \]
\[ \sqrt{240} \approx 15.491933 \]

What is the square root of 240?

The square root of 240 is 15.491933 (rounded to 6 decimal places). In simplest radical form it is 4√15.

Is 240 a perfect square?

No. It lies between 15² = 225 and 16² = 256.

What is 240 squared?

240 × 240 = 57600.

What is the square root of 240 rounded to 2 decimals?

15.49.