Square root of 6844

The square root of 6844 is 82.728472 (rounded to 6 decimal places). In simplest radical form it is 2√1711.

Square root of 6844

Pick any whole number from 1 to 10,000.

\sqrt{6844} = 2\sqrt{1711} \approx 82.728472

How to work it out

1
The square root of 6844 is the number that multiplied by itself gives 6844.
2
6844 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: 6844 = 4 × 1711, so
$\sqrt{6844} = \sqrt{4 \times 1711} = 2\sqrt{1711}$
4
A calculator, or long division of digits, gives
$\sqrt{6844} \approx 82.728472$

LaTeX source of the formulas on this page

\[ \sqrt{6844} = 2\sqrt{1711} \approx 82.728472 \]
\[ \sqrt{6844} = \sqrt{4 \times 1711} = 2\sqrt{1711} \]
\[ \sqrt{6844} \approx 82.728472 \]

What is the square root of 6844?

The square root of 6844 is 82.728472 (rounded to 6 decimal places). In simplest radical form it is 2√1711.

Is 6844 a perfect square?

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

What is 6844 squared?

6844 × 6844 = 46840336.

What is the square root of 6844 rounded to 2 decimals?

82.73.