Question
Answer
$$-3\sqrt{54}-\sqrt{2}-\sqrt{6}+2\sqrt{3}=-10\sqrt{6}-\sqrt{2}+2\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{54}-\sqrt{2}-\sqrt{6}+2\sqrt{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9\sqrt{6}-\sqrt{2}-\sqrt{6}+2\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10\sqrt{6}-\sqrt{2}+2\sqrt{3}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{54} =
-3 \sqrt{ 3 ^2 \cdot 6 } =
-3 \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
-3 \cdot 3 \sqrt{ 6 } =
-9 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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