Square root of 8225

The square root of 8225 is 90.691786 (rounded to 6 decimal places). In simplest radical form it is 5√329.

Square root of 8225

Pick any whole number from 1 to 10,000.

\sqrt{8225} = 5\sqrt{329} \approx 90.691786

How to work it out

1
The square root of 8225 is the number that multiplied by itself gives 8225.
2
8225 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: 8225 = 25 × 329, so
$\sqrt{8225} = \sqrt{25 \times 329} = 5\sqrt{329}$
4
A calculator, or long division of digits, gives
$\sqrt{8225} \approx 90.691786$

LaTeX source of the formulas on this page

\[ \sqrt{8225} = 5\sqrt{329} \approx 90.691786 \]
\[ \sqrt{8225} = \sqrt{25 \times 329} = 5\sqrt{329} \]
\[ \sqrt{8225} \approx 90.691786 \]

What is the square root of 8225?

The square root of 8225 is 90.691786 (rounded to 6 decimal places). In simplest radical form it is 5√329.

Is 8225 a perfect square?

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

What is 8225 squared?

8225 × 8225 = 67650625.

What is the square root of 8225 rounded to 2 decimals?

90.69.