Square root of 6856

The square root of 6856 is 82.800966 (rounded to 6 decimal places). In simplest radical form it is 2√1714.

Square root of 6856

Pick any whole number from 1 to 10,000.

\sqrt{6856} = 2\sqrt{1714} \approx 82.800966

How to work it out

1
The square root of 6856 is the number that multiplied by itself gives 6856.
2
6856 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: 6856 = 4 × 1714, so
$\sqrt{6856} = \sqrt{4 \times 1714} = 2\sqrt{1714}$
4
A calculator, or long division of digits, gives
$\sqrt{6856} \approx 82.800966$

LaTeX source of the formulas on this page

\[ \sqrt{6856} = 2\sqrt{1714} \approx 82.800966 \]
\[ \sqrt{6856} = \sqrt{4 \times 1714} = 2\sqrt{1714} \]
\[ \sqrt{6856} \approx 82.800966 \]

What is the square root of 6856?

The square root of 6856 is 82.800966 (rounded to 6 decimal places). In simplest radical form it is 2√1714.

Is 6856 a perfect square?

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

What is 6856 squared?

6856 × 6856 = 47004736.

What is the square root of 6856 rounded to 2 decimals?

82.80.