Question
Answer
$$(-5+\sqrt{2})\cdot(-4+\sqrt{11})=20-5\sqrt{11}-4\sqrt{2}+\sqrt{22}$$
Explanation
| $$ \begin{aligned}(-5+\sqrt{2})\cdot(-4+\sqrt{11})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20-5\sqrt{11}-4\sqrt{2}+\sqrt{22}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -5 + \sqrt{2}\right) } \cdot \left( -4 + \sqrt{11}\right) = \color{blue}{-5} \cdot-4\color{blue}{-5} \cdot \sqrt{11}+\color{blue}{ \sqrt{2}} \cdot-4+\color{blue}{ \sqrt{2}} \cdot \sqrt{11} = \\ = 20- 5 \sqrt{11}- 4 \sqrt{2} + \sqrt{22} $$ |
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