Question 2

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waecmaths question: 

Simplify $\frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}$ 

Option A: 

$\tfrac{1}{6}(5\sqrt{3}-3\sqrt{2})$

Option B: 

$\tfrac{1}{6}(15\sqrt{3}-6\sqrt{2})$

Option C: 

$\tfrac{1}{6}(3\sqrt{2}-\sqrt{3})$

Option D: 

$\tfrac{1}{6}(10\sqrt{3}-9\sqrt{2})$

waecmaths solution: 

$\begin{align}  & \frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}=\frac{5\sqrt{2}-3\sqrt{2}}{\sqrt{6}} \\ & \frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}=\frac{5\sqrt{2}-3\sqrt{2}}{\sqrt{6}}\times \frac{\sqrt{6}}{\sqrt{6}} \\ & \frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}=\frac{5\sqrt{12}-3\sqrt{18}}{6} \\ & \frac{5}{\sqrt{3}}-\frac{3}{\sqrt{2}}=\frac{10\sqrt{3}-9\sqrt{2}}{6} \\\end{align}$

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