Step 1 :Step 1: Identify the given radical expressions which are \((\sqrt{3}+3)\) and \((\sqrt{3}-6)\).
Step 2 :Step 2: Multiply the given expressions using the formula for the difference of squares, which is \(a^2 - b^2\).
Step 3 :Step 3: Substitute \(a = \sqrt{3}\) and \(b = 3\) into the formula.
Step 4 :Step 4: Calculate \(a^2 - b^2\) to get the final result.
Step 5 :Final Answer: The final answer is \(\boxed{-6}\).