Question
Answer
$$(-3+10\sqrt{21})\cdot(-10+9\sqrt{3})=30-27\sqrt{3}-100\sqrt{21}+270\sqrt{7}$$
Explanation
| $$ \begin{aligned}(-3+10\sqrt{21})\cdot(-10+9\sqrt{3})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30-27\sqrt{3}-100\sqrt{21}+270\sqrt{7}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -3 + 10 \sqrt{21}\right) } \cdot \left( -10 + 9 \sqrt{3}\right) = \color{blue}{-3} \cdot-10\color{blue}{-3} \cdot 9 \sqrt{3}+\color{blue}{ 10 \sqrt{21}} \cdot-10+\color{blue}{ 10 \sqrt{21}} \cdot 9 \sqrt{3} = \\ = 30- 27 \sqrt{3}- 100 \sqrt{21} + 270 \sqrt{7} $$ |
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