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The sum of all rational terms in the expansion of (2+ 3)8 is :
(2) 18817
Tr+1 = 8Cr 28-r( 3)r is rational only for even r.
sum of rational terms = (2+ 3)8 + (2- 3)82
(2+ 3)2 = 7 + 4 3
(2+ 3)4 = (7+4 3)2 = 97 + 56 3
(2+ 3)8 = (97+56 3)2 = 9409 + 9408 + 10864 3
= 18817 + 10864 3
Similarly, (2- 3)8 = 18817 - 10864 3
required sum = 2 188172 = 18817
Answer: (2)
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