Square root of 8525

The square root of 8525 is 92.330927 (rounded to 6 decimal places). In simplest radical form it is 5√341.

Square root of 8525

Pick any whole number from 1 to 10,000.

\sqrt{8525} = 5\sqrt{341} \approx 92.330927

How to work it out

1
The square root of 8525 is the number that multiplied by itself gives 8525.
2
8525 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8525 = 25 × 341, so
$\sqrt{8525} = \sqrt{25 \times 341} = 5\sqrt{341}$
4
A calculator, or long division of digits, gives
$\sqrt{8525} \approx 92.330927$

LaTeX source of the formulas on this page

\[ \sqrt{8525} = 5\sqrt{341} \approx 92.330927 \]
\[ \sqrt{8525} = \sqrt{25 \times 341} = 5\sqrt{341} \]
\[ \sqrt{8525} \approx 92.330927 \]

What is the square root of 8525?

The square root of 8525 is 92.330927 (rounded to 6 decimal places). In simplest radical form it is 5√341.

Is 8525 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8525 squared?

8525 × 8525 = 72675625.

What is the square root of 8525 rounded to 2 decimals?

92.33.