Square root of 6811

The square root of 6811 is 82.528783 (rounded to 6 decimal places). In simplest radical form it is 7√139.

Square root of 6811

Pick any whole number from 1 to 10,000.

\sqrt{6811} = 7\sqrt{139} \approx 82.528783

How to work it out

1
The square root of 6811 is the number that multiplied by itself gives 6811.
2
6811 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: 6811 = 49 × 139, so
$\sqrt{6811} = \sqrt{49 \times 139} = 7\sqrt{139}$
4
A calculator, or long division of digits, gives
$\sqrt{6811} \approx 82.528783$

LaTeX source of the formulas on this page

\[ \sqrt{6811} = 7\sqrt{139} \approx 82.528783 \]
\[ \sqrt{6811} = \sqrt{49 \times 139} = 7\sqrt{139} \]
\[ \sqrt{6811} \approx 82.528783 \]

What is the square root of 6811?

The square root of 6811 is 82.528783 (rounded to 6 decimal places). In simplest radical form it is 7√139.

Is 6811 a perfect square?

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

What is 6811 squared?

6811 × 6811 = 46389721.

What is the square root of 6811 rounded to 2 decimals?

82.53.