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Lesson: 9.4a Addition and Subtraction with...
2uestion 1 of 10 , Step 1 of 1
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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 $\boxed{{\displaystyle -9\sqrt{3}+7\sqrt{6}}}$.