Answer
$$-\sqrt{8}+2\sqrt{18}-3\sqrt{6}=4\sqrt{2}-3\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{8}+2\sqrt{18}-3\sqrt{6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2\sqrt{2}+6\sqrt{2}-3\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}4\sqrt{2}-3\sqrt{6}\end{aligned} $$ | |
| ① | $$ - \sqrt{8} =
- \sqrt{ 2 ^2 \cdot 2 } =
- \sqrt{ 2 ^2 } \, \sqrt{ 2 } =
- 2 \sqrt{ 2 }$$ |
| ② | $$ 2 \sqrt{18} =
2 \sqrt{ 3 ^2 \cdot 2 } =
2 \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
2 \cdot 3 \sqrt{ 2 } =
6 \sqrt{ 2 } $$ |
| ③ | Combine like terms |
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