Answer
$$3\sqrt{6}-\sqrt{96}=-\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3\sqrt{6}-\sqrt{96}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3\sqrt{6}-4\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-\sqrt{6}\end{aligned} $$ | |
| ① | $$ - \sqrt{96} =
- \sqrt{ 4 ^2 \cdot 6 } =
- \sqrt{ 4 ^2 } \, \sqrt{ 6 } =
- 4 \sqrt{ 6 }$$ |
| ② | Combine like terms |
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