Square root of 5216

The square root of 5216 is 72.22188 (rounded to 6 decimal places). In simplest radical form it is 4√326.

Square root of 5216

Pick any whole number from 1 to 10,000.

\sqrt{5216} = 4\sqrt{326} \approx 72.22188

How to work it out

1
The square root of 5216 is the number that multiplied by itself gives 5216.
2
5216 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5216 = 16 × 326, so
$\sqrt{5216} = \sqrt{16 \times 326} = 4\sqrt{326}$
4
A calculator, or long division of digits, gives
$\sqrt{5216} \approx 72.22188$

LaTeX source of the formulas on this page

\[ \sqrt{5216} = 4\sqrt{326} \approx 72.22188 \]
\[ \sqrt{5216} = \sqrt{16 \times 326} = 4\sqrt{326} \]
\[ \sqrt{5216} \approx 72.22188 \]

What is the square root of 5216?

The square root of 5216 is 72.22188 (rounded to 6 decimal places). In simplest radical form it is 4√326.

Is 5216 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5216 squared?

5216 × 5216 = 27206656.

What is the square root of 5216 rounded to 2 decimals?

72.22.