Question
Answer
$$-\sqrt{2}-4\sqrt{32}=-17\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{2}-4\sqrt{32}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\sqrt{2}-16\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-17\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 4 \sqrt{32} =
-4 \sqrt{ 4 ^2 \cdot 2 } =
-4 \sqrt{ 4 ^2 } \, \sqrt{ 2 } =
-4 \cdot 4 \sqrt{ 2 } =
-16 \sqrt{ 2 } $$ |
| ② | Combine like terms |
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