Question
Answer
$$(\sqrt{2}+\sqrt{5})^2=7+2\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{2}+\sqrt{5})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2+\sqrt{10}+\sqrt{10}+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7+2\sqrt{10}\end{aligned} $$ | |
| ① | $$ (\sqrt{2}+\sqrt{5})^2 = \left( \sqrt{2} + \sqrt{5} \right) \cdot \left( \sqrt{2} + \sqrt{5} \right) = 2 + \sqrt{10} + \sqrt{10} + 5 $$ |
| ② | Combine like terms |
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