Question 44

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waecmaths question: 

Simplify $\tfrac{1}{2}\sqrt{32}-\sqrt{18}+\sqrt{2}$

Option A: 

0

Option B: 

$\sqrt{2}$

Option C: 

$2\sqrt{2}$

Option D: 

$4\sqrt{2}$

waecmaths solution: 

$\begin{align}  & \tfrac{1}{2}\sqrt{32}-\sqrt{18}+\sqrt{2}=\tfrac{1}{2}\sqrt{16\times 2}-\sqrt{9\times 2}+\sqrt{2} \\ & =\tfrac{1}{2}(4)\sqrt{2}-3\sqrt{2}+\sqrt{2} \\ & =2\sqrt{2}-3\sqrt{2}+\sqrt{2} \\ & =0 \end{align}$

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