Show that
`(i)" "{((3+2i))/((2-3i))+((3-2i))/((2+3i))}` is purely real,
`(ii)" "{((sqrt(7)+i sqrt(3)))/((sqrt(7)-i sqrt(3)))+((sqrt(7)- i sqrt(3)))/((sqrt(7) + i sqrt(3)))}` is purely real.

Explanation

(i) Given expression `=((3+2i)(2+3i)+(3-2i)(2-3i))/((2-3i)(2+3i))=(0)/(13)=0`.
(ii) Given expression `=((sqrt(7)+i sqrt(3))^(2)+(sqrt(7)-i sqrt(3))^(2))/((sqrt(7)-i sqrt(3))(sqrt(7)+ i sqrt(3)))=(2{(sqrt(7))^(2)+(i sqrt(3))^(2)})/((7+ 3))=(8)/(10)=(4)/(5)`.