AP EAMCET Engineering 18 Sep 2020 Shift 1 Paper

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.