`(sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)+sqrt(8)+sqrt(16))/(sqrt(2)+sqrt(3)+sqrt(4))`
`=(sqrt(2)+sqrt(3)+sqrt(2)+sqrt(6)+sqrt(8)+sqrt(16))/(sqrt(2)+sqrt(3)+sqrt(2))`
`=(sqrt(2)+sqrt(3)+sqrt(2)+sqrt(6)+2sqrt(2)+sqrt(16))/(sqrt(2)+sqrt(3)+sqrt(2))`
`=((sqrt(2)+2sqrt(2))sqrt(3)+(2+4)+sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(2))`
`=(3sqrt(2)+sqrt(3)+6+sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(2))`
