Square root of 8272

The square root of 8272 is 90.950536 (rounded to 6 decimal places). In simplest radical form it is 4√517.

Square root of 8272

Pick any whole number from 1 to 10,000.

\sqrt{8272} = 4\sqrt{517} \approx 90.950536

How to work it out

1
The square root of 8272 is the number that multiplied by itself gives 8272.
2
8272 is between the perfect squares 90² = 8100 and 91² = 8281, so its square root is between 90 and 91.
3
Pull out the biggest square factor: 8272 = 16 × 517, so
$\sqrt{8272} = \sqrt{16 \times 517} = 4\sqrt{517}$
4
A calculator, or long division of digits, gives
$\sqrt{8272} \approx 90.950536$

LaTeX source of the formulas on this page

\[ \sqrt{8272} = 4\sqrt{517} \approx 90.950536 \]
\[ \sqrt{8272} = \sqrt{16 \times 517} = 4\sqrt{517} \]
\[ \sqrt{8272} \approx 90.950536 \]

What is the square root of 8272?

The square root of 8272 is 90.950536 (rounded to 6 decimal places). In simplest radical form it is 4√517.

Is 8272 a perfect square?

No. It lies between 90² = 8100 and 91² = 8281.

What is 8272 squared?

8272 × 8272 = 68425984.

What is the square root of 8272 rounded to 2 decimals?

90.95.