Question
Simplify $\big(2\sqrt{5}+3\sqrt{2}\big)^2.$
✓
Answer
$\big(2\sqrt{5}+3\sqrt{2}\big)^2$ $=\big(2\sqrt{5}\big)^2+2\times2\sqrt{5}\times3\sqrt{2}+\big(3\sqrt{2}\big)^2$ $=20+12\sqrt{10}+18$ $=38+12\sqrt{10}$
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