The no of irrational terms in the expansion of (4^1/5 + 7^1/10)⁴⁵ are??????

Total number of terms = 45 + 1 = 46

Above general term is rational, if

r = 0, 10, 20, 30 or 40.

Thus, number of rational terms = 5

Hence, number of irrational terms = 46 – 5 = 41