waecmaths question:
Simplify $3\sqrt{45}-12\sqrt{5}+16\sqrt{20}$ leaving your answer in surd form
Option A:
$29\sqrt{5}$
Option B:
$14\sqrt{15}$
Option C:
$12\sqrt{15}$
Option D:
$11\sqrt{5}$
waecmaths solution:
$\begin{align} & 3\sqrt{45}-12\sqrt{5}+16\sqrt{20}=3\sqrt{9\times 5}-12\sqrt{5}+16\sqrt{4\times 5} \\ & =9\sqrt{5}-12\sqrt{5}+32\sqrt{5} \\ & =29\sqrt{5} \end{align}$
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