Question
Answer
$$4\sqrt{6}-8\sqrt{24}=-12\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4\sqrt{6}-8\sqrt{24}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4\sqrt{6}-16\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12\sqrt{6}\end{aligned} $$ | |
| ① | $$ - 8 \sqrt{24} =
-8 \sqrt{ 2 ^2 \cdot 6 } =
-8 \sqrt{ 2 ^2 } \, \sqrt{ 6 } =
-8 \cdot 2 \sqrt{ 6 } =
-16 \sqrt{ 6 } $$ |
| ② | Combine like terms |
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