Question 8

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Jambmaths question: 

$\begin{align}  & \text{Simplify }\frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}} \\ & \text{(A) 5  (B) }\tfrac{1}{5}\text{  (C) }\tfrac{1}{9}\text{  (D) }9 \\\end{align}$

Jamb Maths Solution: 

$\begin{align}  & \frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}}=\frac{\sqrt{5}\left( \sqrt{3\times 49}-\sqrt{4\times 3} \right)}{\sqrt{3}\times \sqrt{5}} \\ & \frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}}=\frac{\sqrt{5}\left( 7\sqrt{3}-2\sqrt{3} \right)}{\sqrt{3}\times \sqrt{5}}=\frac{\sqrt{5}\left( 5\sqrt{3} \right)}{\sqrt{3}\times \sqrt{5}} \\ & \frac{\sqrt{5}(\sqrt{147}-\sqrt{12})}{\sqrt{15}}=5 \\\end{align}$

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