Question
Answer
$$(\sqrt{3}+5)^2=28+10\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{3}+5)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3+5\sqrt{3}+5\sqrt{3}+25 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}28+10\sqrt{3}\end{aligned} $$ | |
| ① | $$ (\sqrt{3}+5)^2 = \left( \sqrt{3} + 5 \right) \cdot \left( \sqrt{3} + 5 \right) = 3 + 5 \sqrt{3} + 5 \sqrt{3} + 25 $$ |
| ② | Combine like terms |
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