Question: 
$2+\frac{2}{5} \sqrt{30}$
$2+\frac{4}{\sqrt{5}} \sqrt{30}$
$4+\frac{4}{\sqrt{5}} \sqrt{30}$
$5+\frac{2}{5} \sqrt{30}$
Correct Option: 1
Solution:
$y=4+\frac{1}{\left(5+\frac{1}{y}\right)}$
$y-4=\frac{y}{(5 y+1)}$
$5 y^{2}-20 y-4=0$
$\mathrm{y}=\frac{20+\sqrt{480}}{10}$
$\mathrm{y}=\frac{20-\sqrt{480}}{10} \rightarrow$ rejected
$y=2+\sqrt{\frac{480}{100}}$
Correct with Option (A)
