Square root of 6772

The square root of 6772 is 82.292162 (rounded to 6 decimal places). In simplest radical form it is 2√1693.

Square root of 6772

Pick any whole number from 1 to 10,000.

\sqrt{6772} = 2\sqrt{1693} \approx 82.292162

How to work it out

1
The square root of 6772 is the number that multiplied by itself gives 6772.
2
6772 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: 6772 = 4 × 1693, so
$\sqrt{6772} = \sqrt{4 \times 1693} = 2\sqrt{1693}$
4
A calculator, or long division of digits, gives
$\sqrt{6772} \approx 82.292162$

LaTeX source of the formulas on this page

\[ \sqrt{6772} = 2\sqrt{1693} \approx 82.292162 \]
\[ \sqrt{6772} = \sqrt{4 \times 1693} = 2\sqrt{1693} \]
\[ \sqrt{6772} \approx 82.292162 \]

What is the square root of 6772?

The square root of 6772 is 82.292162 (rounded to 6 decimal places). In simplest radical form it is 2√1693.

Is 6772 a perfect square?

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

What is 6772 squared?

6772 × 6772 = 45859984.

What is the square root of 6772 rounded to 2 decimals?

82.29.