Square root of 6813

The square root of 6813 is 82.540899 (rounded to 6 decimal places). In simplest radical form it is 3√757.

Square root of 6813

Pick any whole number from 1 to 10,000.

\sqrt{6813} = 3\sqrt{757} \approx 82.540899

How to work it out

1
The square root of 6813 is the number that multiplied by itself gives 6813.
2
6813 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6813 = 9 × 757, so
$\sqrt{6813} = \sqrt{9 \times 757} = 3\sqrt{757}$
4
A calculator, or long division of digits, gives
$\sqrt{6813} \approx 82.540899$

LaTeX source of the formulas on this page

\[ \sqrt{6813} = 3\sqrt{757} \approx 82.540899 \]
\[ \sqrt{6813} = \sqrt{9 \times 757} = 3\sqrt{757} \]
\[ \sqrt{6813} \approx 82.540899 \]

What is the square root of 6813?

The square root of 6813 is 82.540899 (rounded to 6 decimal places). In simplest radical form it is 3√757.

Is 6813 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6813 squared?

6813 × 6813 = 46416969.

What is the square root of 6813 rounded to 2 decimals?

82.54.