Question
Answer
$$-3\sqrt{24}+3\sqrt{5}-\sqrt{24}=-8\sqrt{6}+3\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3\sqrt{24}+3\sqrt{5}-\sqrt{24}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6\sqrt{6}+3\sqrt{5}-2\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8\sqrt{6}+3\sqrt{5}\end{aligned} $$ | |
| 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 | $$ - \sqrt{24} =
- \sqrt{ 2 ^2 \cdot 6 } =
- \sqrt{ 2 ^2 } \, \sqrt{ 6 } =
- 2 \sqrt{ 6 }$$ |
| ③ | Combine like terms |
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