Given binomial is (5√3+3√2)15 ∵ The general term Tr+1=15Cr3
15−r
5
2
r
3
=15Cr33−r/52r/3 For rational terms r must be multiple of 15, so possible values of r=0 and 15(∵0≤r≤15) ∴ Sum of rational terms =15C033+15C1525 =27+32=59 ∴ The sum of all irrational terms is greater than the sum of all rational terms.
