Divide eight square root of 6 over two provide an exact answer. Would it be 4 square root of 6 square root of three or eight square root of three

To divide \( 8\sqrt{6} \) by \( 2 \), we perform the division as follows:

\[
\frac{8\sqrt{6}}{2} = 4\sqrt{6}
\]

So the exact answer is \( 4\sqrt{6} \).

It is neither \( 4\sqrt{6}\sqrt{3} \) nor \( 8\sqrt{3} \). Therefore, the correct answer is \( 4\sqrt{6} \).