Square root of 6836

The square root of 6836 is 82.680106 (rounded to 6 decimal places). In simplest radical form it is 2√1709.

Square root of 6836

Pick any whole number from 1 to 10,000.

\sqrt{6836} = 2\sqrt{1709} \approx 82.680106

How to work it out

1
The square root of 6836 is the number that multiplied by itself gives 6836.
2
6836 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: 6836 = 4 × 1709, so
$\sqrt{6836} = \sqrt{4 \times 1709} = 2\sqrt{1709}$
4
A calculator, or long division of digits, gives
$\sqrt{6836} \approx 82.680106$

LaTeX source of the formulas on this page

\[ \sqrt{6836} = 2\sqrt{1709} \approx 82.680106 \]
\[ \sqrt{6836} = \sqrt{4 \times 1709} = 2\sqrt{1709} \]
\[ \sqrt{6836} \approx 82.680106 \]

What is the square root of 6836?

The square root of 6836 is 82.680106 (rounded to 6 decimal places). In simplest radical form it is 2√1709.

Is 6836 a perfect square?

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

What is 6836 squared?

6836 × 6836 = 46730896.

What is the square root of 6836 rounded to 2 decimals?

82.68.