Answer: 24√6 in simplest radical form.
Explanation: We can simplify this expression by first combining the coefficients (the numbers in front of the square roots) and then multiplying the square roots together.
3√2 * 2√8 * √3 * √6
= (3 * 2 * √2 * √8) * (√3 * √6)
= (6 * √16) * √18
= (6 * 4) * √2 * √3 * √3
= 24√6
Therefore, the answer is 24√6 in simplest radical form.