find number of rational terms in the expansion of ((3)^(1/5) +(2)^(1/3) )^(15) . prove sum of all irrarional terms is greater than sum of all rational terms.


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Question Number 148997 by gsk2684 last updated on 02/Aug/21

$f i n d n u m b e r o f r a t i o n a l t e r m s$ $i n t h e e x p a n s i o n o f {(\sqrt[5]{3} + \sqrt[3]{2})}^{15} .$ $p r o v e s u m o f a l l i r r a r i o n a l t e r m s$ $i s g r e a t e r t h a n s u m o f a l l r a t i o n a l$ $t e r m s .$
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