Answer
$$(2\sqrt{5}+3\sqrt{7})^2=83+12\sqrt{35}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2\sqrt{5}+3\sqrt{7})^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20+6\sqrt{35}+6\sqrt{35}+63 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}83+12\sqrt{35}\end{aligned} $$ | |
| ① | $$ (2\sqrt{5}+3\sqrt{7})^2 = \left( 2 \sqrt{5} + 3 \sqrt{7} \right) \cdot \left( 2 \sqrt{5} + 3 \sqrt{7} \right) = 20 + 6 \sqrt{35} + 6 \sqrt{35} + 63 $$ |
| ② | Combine like terms |
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