Square root of 6692

The square root of 6692 is 81.804645 (rounded to 6 decimal places). In simplest radical form it is 2√1673.

Square root of 6692

Pick any whole number from 1 to 10,000.

\sqrt{6692} = 2\sqrt{1673} \approx 81.804645

How to work it out

1
The square root of 6692 is the number that multiplied by itself gives 6692.
2
6692 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6692 = 4 × 1673, so
$\sqrt{6692} = \sqrt{4 \times 1673} = 2\sqrt{1673}$
4
A calculator, or long division of digits, gives
$\sqrt{6692} \approx 81.804645$

LaTeX source of the formulas on this page

\[ \sqrt{6692} = 2\sqrt{1673} \approx 81.804645 \]
\[ \sqrt{6692} = \sqrt{4 \times 1673} = 2\sqrt{1673} \]
\[ \sqrt{6692} \approx 81.804645 \]

What is the square root of 6692?

The square root of 6692 is 81.804645 (rounded to 6 decimal places). In simplest radical form it is 2√1673.

Is 6692 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6692 squared?

6692 × 6692 = 44782864.

What is the square root of 6692 rounded to 2 decimals?

81.80.