Square root of 6796

The square root of 6796 is 82.437855 (rounded to 6 decimal places). In simplest radical form it is 2√1699.

Square root of 6796

Pick any whole number from 1 to 10,000.

\sqrt{6796} = 2\sqrt{1699} \approx 82.437855

How to work it out

1
The square root of 6796 is the number that multiplied by itself gives 6796.
2
6796 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: 6796 = 4 × 1699, so
$\sqrt{6796} = \sqrt{4 \times 1699} = 2\sqrt{1699}$
4
A calculator, or long division of digits, gives
$\sqrt{6796} \approx 82.437855$

LaTeX source of the formulas on this page

\[ \sqrt{6796} = 2\sqrt{1699} \approx 82.437855 \]
\[ \sqrt{6796} = \sqrt{4 \times 1699} = 2\sqrt{1699} \]
\[ \sqrt{6796} \approx 82.437855 \]

What is the square root of 6796?

The square root of 6796 is 82.437855 (rounded to 6 decimal places). In simplest radical form it is 2√1699.

Is 6796 a perfect square?

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

What is 6796 squared?

6796 × 6796 = 46185616.

What is the square root of 6796 rounded to 2 decimals?

82.44.