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