Square root of 8200

The square root of 8200 is 90.553851 (rounded to 6 decimal places). In simplest radical form it is 10√82.

Square root of 8200

Pick any whole number from 1 to 10,000.

\sqrt{8200} = 10\sqrt{82} \approx 90.553851

How to work it out

1
The square root of 8200 is the number that multiplied by itself gives 8200.
2
8200 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: 8200 = 100 × 82, so
$\sqrt{8200} = \sqrt{100 \times 82} = 10\sqrt{82}$
4
A calculator, or long division of digits, gives
$\sqrt{8200} \approx 90.553851$

LaTeX source of the formulas on this page

\[ \sqrt{8200} = 10\sqrt{82} \approx 90.553851 \]
\[ \sqrt{8200} = \sqrt{100 \times 82} = 10\sqrt{82} \]
\[ \sqrt{8200} \approx 90.553851 \]

What is the square root of 8200?

The square root of 8200 is 90.553851 (rounded to 6 decimal places). In simplest radical form it is 10√82.

Is 8200 a perfect square?

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

What is 8200 squared?

8200 × 8200 = 67240000.

What is the square root of 8200 rounded to 2 decimals?

90.55.