Question
Answer
$$(-7+\sqrt{22})\cdot(-10-\sqrt{3})=70+7\sqrt{3}-10\sqrt{22}-\sqrt{66}$$
Explanation
| $$ \begin{aligned}(-7+\sqrt{22})\cdot(-10-\sqrt{3})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}70+7\sqrt{3}-10\sqrt{22}-\sqrt{66}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -7 + \sqrt{22}\right) } \cdot \left( -10- \sqrt{3}\right) = \color{blue}{-7} \cdot-10\color{blue}{-7} \cdot- \sqrt{3}+\color{blue}{ \sqrt{22}} \cdot-10+\color{blue}{ \sqrt{22}} \cdot- \sqrt{3} = \\ = 70 + 7 \sqrt{3}- 10 \sqrt{22}- \sqrt{66} $$ |
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