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Lesson: 9.4a Addition and Subtraction with...
2uestion 1 of 10 , Step 1 of 1
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Correct
Simplify the expression by combining the radical terms using the indicated operation(s).
\[
-7 \sqrt{3}-2 \sqrt{3}+7 \sqrt{6}
\]

Step 1 ：Given the expression \(-7 \sqrt{3}-2 \sqrt{3}+7 \sqrt{6}\), we need to simplify it by combining the radical terms using the indicated operation(s).

Step 2 ：Identify the like terms in the expression. In this case, the like terms are \(-7 \sqrt{3}\) and \(-2 \sqrt{3}\).

Step 3 ：Add the coefficients of the like terms. The coefficients of the like terms are -7 and -2. Adding these gives -9.

Step 4 ：The term \(7 \sqrt{6}\) cannot be combined with the other terms because it is not a like term.

Step 5 ：Combine the results from the previous steps to form the simplified expression. The simplified expression is \(-9 \sqrt{3} + 7 \sqrt{6}\).

Step 6 ：Final Answer: The simplified expression is \(\boxed{-9 \sqrt{3} + 7 \sqrt{6}}\).