Square root of 6740

The square root of 6740 is 82.097503 (rounded to 6 decimal places). In simplest radical form it is 2√1685.

Square root of 6740

Pick any whole number from 1 to 10,000.

\sqrt{6740} = 2\sqrt{1685} \approx 82.097503

How to work it out

1
The square root of 6740 is the number that multiplied by itself gives 6740.
2
6740 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: 6740 = 4 × 1685, so
$\sqrt{6740} = \sqrt{4 \times 1685} = 2\sqrt{1685}$
4
A calculator, or long division of digits, gives
$\sqrt{6740} \approx 82.097503$

LaTeX source of the formulas on this page

\[ \sqrt{6740} = 2\sqrt{1685} \approx 82.097503 \]
\[ \sqrt{6740} = \sqrt{4 \times 1685} = 2\sqrt{1685} \]
\[ \sqrt{6740} \approx 82.097503 \]

What is the square root of 6740?

The square root of 6740 is 82.097503 (rounded to 6 decimal places). In simplest radical form it is 2√1685.

Is 6740 a perfect square?

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

What is 6740 squared?

6740 × 6740 = 45427600.

What is the square root of 6740 rounded to 2 decimals?

82.10.