Square root of 1360

The square root of 1360 is 36.878178 (rounded to 6 decimal places). In simplest radical form it is 4√85.

Square root of 1360

Pick any whole number from 1 to 10,000.

\sqrt{1360} = 4\sqrt{85} \approx 36.878178

How to work it out

1
The square root of 1360 is the number that multiplied by itself gives 1360.
2
1360 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1360 = 16 × 85, so
$\sqrt{1360} = \sqrt{16 \times 85} = 4\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{1360} \approx 36.878178$

LaTeX source of the formulas on this page

\[ \sqrt{1360} = 4\sqrt{85} \approx 36.878178 \]
\[ \sqrt{1360} = \sqrt{16 \times 85} = 4\sqrt{85} \]
\[ \sqrt{1360} \approx 36.878178 \]

What is the square root of 1360?

The square root of 1360 is 36.878178 (rounded to 6 decimal places). In simplest radical form it is 4√85.

Is 1360 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1360 squared?

1360 × 1360 = 1849600.

What is the square root of 1360 rounded to 2 decimals?

36.88.