Square root of 360

The square root of 360 is 18.973666 (rounded to 6 decimal places). In simplest radical form it is 6√10.

Square root of 360

Pick any whole number from 1 to 10,000.

\sqrt{360} = 6\sqrt{10} \approx 18.973666

How to work it out

1
The square root of 360 is the number that multiplied by itself gives 360.
2
360 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 360 = 36 × 10, so
$\sqrt{360} = \sqrt{36 \times 10} = 6\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{360} \approx 18.973666$

LaTeX source of the formulas on this page

\[ \sqrt{360} = 6\sqrt{10} \approx 18.973666 \]
\[ \sqrt{360} = \sqrt{36 \times 10} = 6\sqrt{10} \]
\[ \sqrt{360} \approx 18.973666 \]

What is the square root of 360?

The square root of 360 is 18.973666 (rounded to 6 decimal places). In simplest radical form it is 6√10.

Is 360 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 360 squared?

360 × 360 = 129600.

What is the square root of 360 rounded to 2 decimals?

18.97.