Square root of 7216

The square root of 7216 is 84.947042 (rounded to 6 decimal places). In simplest radical form it is 4√451.

Square root of 7216

Pick any whole number from 1 to 10,000.

\sqrt{7216} = 4\sqrt{451} \approx 84.947042

How to work it out

1
The square root of 7216 is the number that multiplied by itself gives 7216.
2
7216 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: 7216 = 16 × 451, so
$\sqrt{7216} = \sqrt{16 \times 451} = 4\sqrt{451}$
4
A calculator, or long division of digits, gives
$\sqrt{7216} \approx 84.947042$

LaTeX source of the formulas on this page

\[ \sqrt{7216} = 4\sqrt{451} \approx 84.947042 \]
\[ \sqrt{7216} = \sqrt{16 \times 451} = 4\sqrt{451} \]
\[ \sqrt{7216} \approx 84.947042 \]

What is the square root of 7216?

The square root of 7216 is 84.947042 (rounded to 6 decimal places). In simplest radical form it is 4√451.

Is 7216 a perfect square?

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

What is 7216 squared?

7216 × 7216 = 52070656.

What is the square root of 7216 rounded to 2 decimals?

84.95.