Question
Answer
$$-3\sqrt{24}-3\sqrt{2}+\sqrt{8}=-6\sqrt{6}-\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{24}-3\sqrt{2}+\sqrt{8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6\sqrt{6}-3\sqrt{2}+2\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-6\sqrt{6}-\sqrt{2}\end{aligned} $$ | |
| ① | $$ - 3 \sqrt{24} =
-3 \sqrt{ 2 ^2 \cdot 6 } =
-3 \sqrt{ 2 ^2 } \, \sqrt{ 6 } =
-3 \cdot 2 \sqrt{ 6 } =
-6 \sqrt{ 6 } $$ |
| ② | $$ \sqrt{8} =
\sqrt{ 2 ^2 \cdot 2 } =
\sqrt{ 2 ^2 } \, \sqrt{ 2 } =
2 \sqrt{ 2 }$$ |
| ③ | Combine like terms |
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