Algebra-2

Question Analysis
This problem assesses the ability to simplify radical expressions by dividing the radicands and simplifying the result, including handling coefficients.

Key Concept Explanation
When dividing two radicals with the same index, the quotient of the radicands becomes the new radicand. The expression can then be simplified further if possible. Coefficients are handled separately.

Step-by-step Solution
1. Confirm conditions: Index = 2 (even); radicands 12x ≥ 0, 3x > 0; same index.
2. Separate coefficients and radicals: