Question
Answer
$$(-3+8\sqrt{33})\cdot(5-\sqrt{3})=-15+3\sqrt{3}+40\sqrt{33}-24\sqrt{11}$$
Explanation
| $$ \begin{aligned}(-3+8\sqrt{33})\cdot(5-\sqrt{3})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-15+3\sqrt{3}+40\sqrt{33}-24\sqrt{11}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -3 + 8 \sqrt{33}\right) } \cdot \left( 5- \sqrt{3}\right) = \color{blue}{-3} \cdot5\color{blue}{-3} \cdot- \sqrt{3}+\color{blue}{ 8 \sqrt{33}} \cdot5+\color{blue}{ 8 \sqrt{33}} \cdot- \sqrt{3} = \\ = -15 + 3 \sqrt{3} + 40 \sqrt{33}- 24 \sqrt{11} $$ |
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