Square root of 8125

The square root of 8125 is 90.138782 (rounded to 6 decimal places). In simplest radical form it is 25√13.

Square root of 8125

Pick any whole number from 1 to 10,000.

\sqrt{8125} = 25\sqrt{13} \approx 90.138782

How to work it out

1
The square root of 8125 is the number that multiplied by itself gives 8125.
2
8125 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: 8125 = 625 × 13, so
$\sqrt{8125} = \sqrt{625 \times 13} = 25\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{8125} \approx 90.138782$

LaTeX source of the formulas on this page

\[ \sqrt{8125} = 25\sqrt{13} \approx 90.138782 \]
\[ \sqrt{8125} = \sqrt{625 \times 13} = 25\sqrt{13} \]
\[ \sqrt{8125} \approx 90.138782 \]

What is the square root of 8125?

The square root of 8125 is 90.138782 (rounded to 6 decimal places). In simplest radical form it is 25√13.

Is 8125 a perfect square?

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

What is 8125 squared?

8125 × 8125 = 66015625.

What is the square root of 8125 rounded to 2 decimals?

90.14.