Problem

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

Solution

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 \(\boxed{-6}\).

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Source: https://solvelyapp.com/problems/tBixaxygG4/

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