Question
Answer
$$(2+3\sqrt{3})^2=31+12\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2+3\sqrt{3})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4+6\sqrt{3}+6\sqrt{3}+27 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}31+12\sqrt{3}\end{aligned} $$ | |
| ① | $$ (2+3\sqrt{3})^2 = \left( 2 + 3 \sqrt{3} \right) \cdot \left( 2 + 3 \sqrt{3} \right) = 4 + 6 \sqrt{3} + 6 \sqrt{3} + 27 $$ |
| ② | Combine like terms |
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