Square root of 7218

The square root of 7218 is 84.958814 (rounded to 6 decimal places). In simplest radical form it is 3√802.

Square root of 7218

Pick any whole number from 1 to 10,000.

\sqrt{7218} = 3\sqrt{802} \approx 84.958814

How to work it out

1
The square root of 7218 is the number that multiplied by itself gives 7218.
2
7218 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7218 = 9 × 802, so
$\sqrt{7218} = \sqrt{9 \times 802} = 3\sqrt{802}$
4
A calculator, or long division of digits, gives
$\sqrt{7218} \approx 84.958814$

LaTeX source of the formulas on this page

\[ \sqrt{7218} = 3\sqrt{802} \approx 84.958814 \]
\[ \sqrt{7218} = \sqrt{9 \times 802} = 3\sqrt{802} \]
\[ \sqrt{7218} \approx 84.958814 \]

What is the square root of 7218?

The square root of 7218 is 84.958814 (rounded to 6 decimal places). In simplest radical form it is 3√802.

Is 7218 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7218 squared?

7218 × 7218 = 52099524.

What is the square root of 7218 rounded to 2 decimals?

84.96.