Answer
$$(1+2\sqrt{2})^2=9+4\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(1+2\sqrt{2})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+2\sqrt{2}+2\sqrt{2}+8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9+4\sqrt{2}\end{aligned} $$ | |
| ① | $$ (1+2\sqrt{2})^2 = \left( 1 + 2 \sqrt{2} \right) \cdot \left( 1 + 2 \sqrt{2} \right) = 1 + 2 \sqrt{2} + 2 \sqrt{2} + 8 $$ |
| ② | Combine like terms |
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