Question 2 .
of 8 Step 1 of 1
01:0
Multiply and simplify the following radical expressions.
\[
(\sqrt{3}+3)(\sqrt{3}-6)
\]

Answer

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Answer

Final Answer: The final answer is \(\boxed{-6}\).

Steps

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 \(\boxed{-6}\).