Question
Answer
$$\sqrt{24}-9\sqrt{96}=-34\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{24}-9\sqrt{96}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\sqrt{6}-36\sqrt{6} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-34\sqrt{6}\end{aligned} $$ | |
| ① | $$ \sqrt{24} =
\sqrt{ 2 ^2 \cdot 6 } =
\sqrt{ 2 ^2 } \, \sqrt{ 6 } =
2 \sqrt{ 6 }$$ |
| ② | $$ - 9 \sqrt{96} =
-9 \sqrt{ 4 ^2 \cdot 6 } =
-9 \sqrt{ 4 ^2 } \, \sqrt{ 6 } =
-9 \cdot 4 \sqrt{ 6 } =
-36 \sqrt{ 6 } $$ |
| ③ | Combine like terms |
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