Square root of 6708

The square root of 6708 is 81.902381 (rounded to 6 decimal places). In simplest radical form it is 2√1677.

Square root of 6708

Pick any whole number from 1 to 10,000.

\sqrt{6708} = 2\sqrt{1677} \approx 81.902381

How to work it out

1
The square root of 6708 is the number that multiplied by itself gives 6708.
2
6708 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: 6708 = 4 × 1677, so
$\sqrt{6708} = \sqrt{4 \times 1677} = 2\sqrt{1677}$
4
A calculator, or long division of digits, gives
$\sqrt{6708} \approx 81.902381$

LaTeX source of the formulas on this page

\[ \sqrt{6708} = 2\sqrt{1677} \approx 81.902381 \]
\[ \sqrt{6708} = \sqrt{4 \times 1677} = 2\sqrt{1677} \]
\[ \sqrt{6708} \approx 81.902381 \]

What is the square root of 6708?

The square root of 6708 is 81.902381 (rounded to 6 decimal places). In simplest radical form it is 2√1677.

Is 6708 a perfect square?

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

What is 6708 squared?

6708 × 6708 = 44997264.

What is the square root of 6708 rounded to 2 decimals?

81.90.