Question 4

Maths Question: 

$\text{Show that }a+\frac{1}{a}>2$

Maths Solution: 

$\begin{align}  & \text{Let } \\ & \sqrt{a}-\frac{1}{\sqrt{a}}>0 \\ & {{\left( \sqrt{a}-\frac{1}{\sqrt{a}} \right)}^{2}}>0 \\ & a+\frac{1}{a}-2>0 \\ & a+\frac{1}{a}>2 \\\end{align}$

University mathstopic: