waecmaths question:
Simplify: $\sqrt{108}+\sqrt{125}-\sqrt{75}$
Option A:
$\sqrt{3}+5\sqrt{5}$
Option B:
$\sqrt{3}-5\sqrt{5}$
Option C:
$6\sqrt{3}+\sqrt{2}$
Option D:
$6\sqrt{3}-\sqrt{2}$
waecmaths solution:
$\begin{align}
& \sqrt{108}+\sqrt{125}-\sqrt{75} \\
& =\sqrt{36\times 3}+\sqrt{25\times 5}-\sqrt{25\times 3} \\
& =6\sqrt{3}+5\sqrt{5}-5\sqrt{3}=\sqrt{3}+5\sqrt{5} \\
\end{align}$
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