Algebra-2

Question Analysis
This problem assesses the ability to multiply radical expressions with the same index and simplify the result. It requires understanding of the properties of radicals and exponents.

Key Concept Explanation
When multiplying two or more radical expressions with the same index, the index remains unchanged. The product of the radicands serves as the new radicand, and the product of the coefficients outside the radicals becomes the new coefficient. For example, .

Step-by-step Solution
1. Confirm the conditions: Both indices are 2. The radicands (holds when ) and (since a square is non-negative, and multiplying by (which is positive as ) keeps it non-negative, so this holds).
2. Apply the multiplication property: