Given expression is (51/2+71/811024+(51/2−71/8)1024 Since, the LCM {2,8}=8, so the every eight term is a rational number in the expansion of (51/2+71/8)1024 of (51∕2−71/8)1024 and in the sum except
1024
8
=128 terms others are irrational and total number of terms in given expansion is 512 So, the required number of irrational terms are 384 .