Square root of 6822

The square root of 6822 is 82.595399 (rounded to 6 decimal places). In simplest radical form it is 3√758.

Square root of 6822

Pick any whole number from 1 to 10,000.

\sqrt{6822} = 3\sqrt{758} \approx 82.595399

How to work it out

1
The square root of 6822 is the number that multiplied by itself gives 6822.
2
6822 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: 6822 = 9 × 758, so
$\sqrt{6822} = \sqrt{9 \times 758} = 3\sqrt{758}$
4
A calculator, or long division of digits, gives
$\sqrt{6822} \approx 82.595399$

LaTeX source of the formulas on this page

\[ \sqrt{6822} = 3\sqrt{758} \approx 82.595399 \]
\[ \sqrt{6822} = \sqrt{9 \times 758} = 3\sqrt{758} \]
\[ \sqrt{6822} \approx 82.595399 \]

What is the square root of 6822?

The square root of 6822 is 82.595399 (rounded to 6 decimal places). In simplest radical form it is 3√758.

Is 6822 a perfect square?

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

What is 6822 squared?

6822 × 6822 = 46539684.

What is the square root of 6822 rounded to 2 decimals?

82.60.