Question
Answer
$$-\sqrt{54}-3\sqrt{24}=-9\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{54}-3\sqrt{24}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3\sqrt{6}-6\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-9\sqrt{6}\end{aligned} $$ | |
| ① | $$ - \sqrt{54} =
- \sqrt{ 3 ^2 \cdot 6 } =
- \sqrt{ 3 ^2 } \, \sqrt{ 6 } =
- 3 \sqrt{ 6 }$$ |
| ② | $$ - 3 \sqrt{24} =
-3 \sqrt{ 2 ^2 \cdot 6 } =
-3 \sqrt{ 2 ^2 } \, \sqrt{ 6 } =
-3 \cdot 2 \sqrt{ 6 } =
-6 \sqrt{ 6 } $$ |
| ③ | Combine like terms |
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