Square root of 6858

The square root of 6858 is 82.813042 (rounded to 6 decimal places). In simplest radical form it is 3√762.

Square root of 6858

Pick any whole number from 1 to 10,000.

\sqrt{6858} = 3\sqrt{762} \approx 82.813042

How to work it out

1
The square root of 6858 is the number that multiplied by itself gives 6858.
2
6858 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: 6858 = 9 × 762, so
$\sqrt{6858} = \sqrt{9 \times 762} = 3\sqrt{762}$
4
A calculator, or long division of digits, gives
$\sqrt{6858} \approx 82.813042$

LaTeX source of the formulas on this page

\[ \sqrt{6858} = 3\sqrt{762} \approx 82.813042 \]
\[ \sqrt{6858} = \sqrt{9 \times 762} = 3\sqrt{762} \]
\[ \sqrt{6858} \approx 82.813042 \]

What is the square root of 6858?

The square root of 6858 is 82.813042 (rounded to 6 decimal places). In simplest radical form it is 3√762.

Is 6858 a perfect square?

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

What is 6858 squared?

6858 × 6858 = 47032164.

What is the square root of 6858 rounded to 2 decimals?

82.81.