Correct Answer - 6
`alpha+beta=1154andalphabeta=1`
`(sqrtalpha+sqrtbeta)^(2)=alpha+beta+2sqrt(alphabeta)=1154+2=1156=(34)^(2)`
`impliessqrtalpha+sqrtbeta=34`
Again `(alpha^(1//4)+beta^(1//4))^(2)=sqrtalpha+sqrtbeta+2(alphabeta)^(1//4)=34+2=36`
`alpha^(1//4)+beta^(1//4)=6`