The number of irrational terms in the expansion of [5^(1/6) + 2^(1/8)]^100 is
A) 96 B)97 C)98 D)99
The answer I have is 97
The rational terms will be powers which are divisible by both 6 and 8.The common numbers which are divisible by 6 and 8 are 24,48,72 and 96 . Total number of terms in the expansion=101,So,No. of irrational terms=101-4=97
Thanks a lot.