Square root of 6867

The square root of 6867 is 82.867364 (rounded to 6 decimal places). In simplest radical form it is 3√763.

Square root of 6867

Pick any whole number from 1 to 10,000.

\sqrt{6867} = 3\sqrt{763} \approx 82.867364

How to work it out

1
The square root of 6867 is the number that multiplied by itself gives 6867.
2
6867 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: 6867 = 9 × 763, so
$\sqrt{6867} = \sqrt{9 \times 763} = 3\sqrt{763}$
4
A calculator, or long division of digits, gives
$\sqrt{6867} \approx 82.867364$

LaTeX source of the formulas on this page

\[ \sqrt{6867} = 3\sqrt{763} \approx 82.867364 \]
\[ \sqrt{6867} = \sqrt{9 \times 763} = 3\sqrt{763} \]
\[ \sqrt{6867} \approx 82.867364 \]

What is the square root of 6867?

The square root of 6867 is 82.867364 (rounded to 6 decimal places). In simplest radical form it is 3√763.

Is 6867 a perfect square?

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

What is 6867 squared?

6867 × 6867 = 47155689.

What is the square root of 6867 rounded to 2 decimals?

82.87.