Square root of 8325

The square root of 8325 is 91.241438 (rounded to 6 decimal places). In simplest radical form it is 15√37.

Square root of 8325

Pick any whole number from 1 to 10,000.

\sqrt{8325} = 15\sqrt{37} \approx 91.241438

How to work it out

1
The square root of 8325 is the number that multiplied by itself gives 8325.
2
8325 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8325 = 225 × 37, so
$\sqrt{8325} = \sqrt{225 \times 37} = 15\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{8325} \approx 91.241438$

LaTeX source of the formulas on this page

\[ \sqrt{8325} = 15\sqrt{37} \approx 91.241438 \]
\[ \sqrt{8325} = \sqrt{225 \times 37} = 15\sqrt{37} \]
\[ \sqrt{8325} \approx 91.241438 \]

What is the square root of 8325?

The square root of 8325 is 91.241438 (rounded to 6 decimal places). In simplest radical form it is 15√37.

Is 8325 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8325 squared?

8325 × 8325 = 69305625.

What is the square root of 8325 rounded to 2 decimals?

91.24.