Question
Answer
$$(\sqrt{2}-3)(\sqrt{2}+3)=-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{2}-3)(\sqrt{2}+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2+3\sqrt{2}-3\sqrt{2}-9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-7\end{aligned} $$ | |
| ① | $$ \color{blue}{ \left( \sqrt{2}-3\right) } \cdot \left( \sqrt{2} + 3\right) = \color{blue}{ \sqrt{2}} \cdot \sqrt{2}+\color{blue}{ \sqrt{2}} \cdot3\color{blue}{-3} \cdot \sqrt{2}\color{blue}{-3} \cdot3 = \\ = 2 + 3 \sqrt{2}- 3 \sqrt{2}-9 $$ |
| ② | Combine like terms |
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