Square root of 6678

The square root of 6678 is 81.719031 (rounded to 6 decimal places). In simplest radical form it is 3√742.

Square root of 6678

Pick any whole number from 1 to 10,000.

\sqrt{6678} = 3\sqrt{742} \approx 81.719031

How to work it out

1
The square root of 6678 is the number that multiplied by itself gives 6678.
2
6678 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: 6678 = 9 × 742, so
$\sqrt{6678} = \sqrt{9 \times 742} = 3\sqrt{742}$
4
A calculator, or long division of digits, gives
$\sqrt{6678} \approx 81.719031$

LaTeX source of the formulas on this page

\[ \sqrt{6678} = 3\sqrt{742} \approx 81.719031 \]
\[ \sqrt{6678} = \sqrt{9 \times 742} = 3\sqrt{742} \]
\[ \sqrt{6678} \approx 81.719031 \]

What is the square root of 6678?

The square root of 6678 is 81.719031 (rounded to 6 decimal places). In simplest radical form it is 3√742.

Is 6678 a perfect square?

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

What is 6678 squared?

6678 × 6678 = 44595684.

What is the square root of 6678 rounded to 2 decimals?

81.72.