Answer
$$(\sqrt{5}+\sqrt{3})(5\sqrt{3}+\sqrt{3})=6\sqrt{15}+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(\sqrt{5}+\sqrt{3})(5\sqrt{3}+\sqrt{3})& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(\sqrt{5}+\sqrt{3})\cdot6\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6\sqrt{15}+18\end{aligned} $$ | |
| ① | Combine like terms |
| ② | $$ \color{blue}{ \left( \sqrt{5} + \sqrt{3}\right) } \cdot 6 \sqrt{3} = \color{blue}{ \sqrt{5}} \cdot 6 \sqrt{3}+\color{blue}{ \sqrt{3}} \cdot 6 \sqrt{3} = \\ = 6 \sqrt{15} + 18 $$ |
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