Question
Answer
$$(2\sqrt{10}+\sqrt{3})^2=43+4\sqrt{30}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2\sqrt{10}+\sqrt{3})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}40+2\sqrt{30}+2\sqrt{30}+3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}43+4\sqrt{30}\end{aligned} $$ | |
| ① | $$ (2\sqrt{10}+\sqrt{3})^2 = \left( 2 \sqrt{10} + \sqrt{3} \right) \cdot \left( 2 \sqrt{10} + \sqrt{3} \right) = 40 + 2 \sqrt{30} + 2 \sqrt{30} + 3 $$ |
| ② | Combine like terms |
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