Square root of 8500

The square root of 8500 is 92.195445 (rounded to 6 decimal places). In simplest radical form it is 10√85.

Square root of 8500

Pick any whole number from 1 to 10,000.

\sqrt{8500} = 10\sqrt{85} \approx 92.195445

How to work it out

1
The square root of 8500 is the number that multiplied by itself gives 8500.
2
8500 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: 8500 = 100 × 85, so
$\sqrt{8500} = \sqrt{100 \times 85} = 10\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{8500} \approx 92.195445$

LaTeX source of the formulas on this page

\[ \sqrt{8500} = 10\sqrt{85} \approx 92.195445 \]
\[ \sqrt{8500} = \sqrt{100 \times 85} = 10\sqrt{85} \]
\[ \sqrt{8500} \approx 92.195445 \]

What is the square root of 8500?

The square root of 8500 is 92.195445 (rounded to 6 decimal places). In simplest radical form it is 10√85.

Is 8500 a perfect square?

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

What is 8500 squared?

8500 × 8500 = 72250000.

What is the square root of 8500 rounded to 2 decimals?

92.20.