Question
Answer
$$(4\sqrt{3}-1)(\sqrt{3}-6)=18-25\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4\sqrt{3}-1)(\sqrt{3}-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12-24\sqrt{3}-\sqrt{3}+6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}18-25\sqrt{3}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( 4 \sqrt{3}-1\right) } \cdot \left( \sqrt{3}-6\right) = \color{blue}{ 4 \sqrt{3}} \cdot \sqrt{3}+\color{blue}{ 4 \sqrt{3}} \cdot-6\color{blue}{-1} \cdot \sqrt{3}\color{blue}{-1} \cdot-6 = \\ = 12- 24 \sqrt{3}- \sqrt{3} + 6 $$ |
| ② | Combine like terms |
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