Correct Answer - C
from option(i)
`implies sqrt(6)+sqrt(2)=sqrt(5)+sqrt(3)`
`implies8+2sqrt(12)=8+2sqrt(15)`
(Squaring both side )
`sqrt(12)!=sqrt(15)`
So option (i) is incorrect
From option (ii)
`sqrt(6)+sqrt(2)ltsqrt(5)+sqrt(3)`
`implies8+2sqrt(12)lt8+2sqrt(15)`
`2sqrt(12)lt2sqrt(15)`
`implies` So option (ii) is correct
`implies` by option (iii)
`sqrt(6)+sqrt(2)gt sqrt(5)+sqrt(3)`
`8+2sqrt(12)gt8+2sqrt(15)`
`2sqrt(12)lt2sqrt(15)`
So option (iii) is also incorrct
Therefore Ans (c) option (i) and (iii) is incorrect