The number of irrational terms in the expansion of  (41/5+71/10)45 is

Total number of terms in the expansion of 415+711045 is 45+1 i.e., 46The general term in the expansion is Tr+1=45Cr⋅445−r5⋅7r10Tr+1 is rational if r = 0, 10, 20, 30, 40 Number of rational terms = 5.∴ Number of irrational terms = 46 – 5 = 41.