Question
Multiply : $(\sqrt{5}-\sqrt{7}) \sqrt{2}$
✓
Answer
$\begin{aligned}(\sqrt{5}-\sqrt{7}) \sqrt{2} & =\sqrt{5} \times \sqrt{2}-\sqrt{7} \times \sqrt{2} \\ & =\sqrt{5 \times 2}-\sqrt{7 \times 2} \\ \therefore \quad(\sqrt{5}-\sqrt{7}) \sqrt{2} & =\sqrt{10}-\sqrt{14}\end{aligned}$
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