Answer
$$(-8+8\sqrt{2})\cdot(9+\sqrt{5})=-72-8\sqrt{5}+72\sqrt{2}+8\sqrt{10}$$
Explanation
| $$ \begin{aligned}(-8+8\sqrt{2})\cdot(9+\sqrt{5})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-72-8\sqrt{5}+72\sqrt{2}+8\sqrt{10}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( -8 + 8 \sqrt{2}\right) } \cdot \left( 9 + \sqrt{5}\right) = \color{blue}{-8} \cdot9\color{blue}{-8} \cdot \sqrt{5}+\color{blue}{ 8 \sqrt{2}} \cdot9+\color{blue}{ 8 \sqrt{2}} \cdot \sqrt{5} = \\ = -72- 8 \sqrt{5} + 72 \sqrt{2} + 8 \sqrt{10} $$ |
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