Square root of 7360

The square root of 7360 is 85.790442 (rounded to 6 decimal places). In simplest radical form it is 8√115.

Square root of 7360

Pick any whole number from 1 to 10,000.

\sqrt{7360} = 8\sqrt{115} \approx 85.790442

How to work it out

1
The square root of 7360 is the number that multiplied by itself gives 7360.
2
7360 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7360 = 64 × 115, so
$\sqrt{7360} = \sqrt{64 \times 115} = 8\sqrt{115}$
4
A calculator, or long division of digits, gives
$\sqrt{7360} \approx 85.790442$

LaTeX source of the formulas on this page

\[ \sqrt{7360} = 8\sqrt{115} \approx 85.790442 \]
\[ \sqrt{7360} = \sqrt{64 \times 115} = 8\sqrt{115} \]
\[ \sqrt{7360} \approx 85.790442 \]

What is the square root of 7360?

The square root of 7360 is 85.790442 (rounded to 6 decimal places). In simplest radical form it is 8√115.

Is 7360 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7360 squared?

7360 × 7360 = 54169600.

What is the square root of 7360 rounded to 2 decimals?

85.79.