Question
Answer
$$8(4\sqrt{7}-\sqrt{18})=32\sqrt{7}-24\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8(4\sqrt{7}-\sqrt{18})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8(4\sqrt{7}-3\sqrt{2}) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}32\sqrt{7}-24\sqrt{2}\end{aligned} $$ | |
| ① | $$ - \sqrt{18} =
- \sqrt{ 3 ^2 \cdot 2 } =
- \sqrt{ 3 ^2 } \, \sqrt{ 2 } =
- 3 \sqrt{ 2 }$$ |
| ② | $$ \color{blue}{ 8 } \cdot \left( 4 \sqrt{7}- 3 \sqrt{2}\right) = \color{blue}{8} \cdot 4 \sqrt{7}+\color{blue}{8} \cdot- 3 \sqrt{2} = \\ = 32 \sqrt{7}- 24 \sqrt{2} $$ |
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