Square root of 7260

The square root of 7260 is 85.205634 (rounded to 6 decimal places). In simplest radical form it is 22√15.

Square root of 7260

Pick any whole number from 1 to 10,000.

\sqrt{7260} = 22\sqrt{15} \approx 85.205634

How to work it out

1
The square root of 7260 is the number that multiplied by itself gives 7260.
2
7260 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: 7260 = 484 × 15, so
$\sqrt{7260} = \sqrt{484 \times 15} = 22\sqrt{15}$
4
A calculator, or long division of digits, gives
$\sqrt{7260} \approx 85.205634$

LaTeX source of the formulas on this page

\[ \sqrt{7260} = 22\sqrt{15} \approx 85.205634 \]
\[ \sqrt{7260} = \sqrt{484 \times 15} = 22\sqrt{15} \]
\[ \sqrt{7260} \approx 85.205634 \]

What is the square root of 7260?

The square root of 7260 is 85.205634 (rounded to 6 decimal places). In simplest radical form it is 22√15.

Is 7260 a perfect square?

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

What is 7260 squared?

7260 × 7260 = 52707600.

What is the square root of 7260 rounded to 2 decimals?

85.21.