Question
Multiply : $\quad \sqrt{3}(\sqrt{7}-\sqrt{3})$

Answer

$\quad \begin{aligned} \sqrt{3}(\sqrt{7}-\sqrt{3}) & =\sqrt{3} \times \sqrt{7}-\sqrt{3} \times \sqrt{3} \\ & =\sqrt{3 \times 7}-\sqrt{3 \times 3} \\ \therefore \quad \sqrt{3}(\sqrt{7}-\sqrt{3}) & =\sqrt{21}-3\end{aligned}$

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