Question 5

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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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