Answer
$$-9\sqrt{2}+7\sqrt{32}=19\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9\sqrt{2}+7\sqrt{32}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9\sqrt{2}+28\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}19\sqrt{2}\end{aligned} $$ | |
| ① | $$ 7 \sqrt{32} =
7 \sqrt{ 4 ^2 \cdot 2 } =
7 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
7 \cdot 4 \sqrt{ 2 } =
28 \sqrt{ 2 } $$ |
| ② | Combine like terms |
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