Question
Answer
$$\sqrt{2}\cdot(-4+\sqrt{55})=-4\sqrt{2}+\sqrt{110}$$
Explanation
| $$ \begin{aligned}\sqrt{2}\cdot(-4+\sqrt{55})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4\sqrt{2}+\sqrt{110}\end{aligned} $$ | |
| ① | $$ \color{blue}{ \sqrt{2} } \cdot \left( -4 + \sqrt{55}\right) = \color{blue}{ \sqrt{2}} \cdot-4+\color{blue}{ \sqrt{2}} \cdot \sqrt{55} = \\ = - 4 \sqrt{2} + \sqrt{110} $$ |
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