A) 41
B) 32
C) 18
D) 9
E) 82
Correct Answer: A
Solution :
\[{{({{2}^{1/2}}+{{3}^{1/5}})}^{10}}\] \[{{=}^{10}}{{C}_{0}}{{2}^{5}}{{+}^{10}}{{C}_{1}}{{2}^{9/2}}{{.3}^{1/5}}+....+\] \[^{10}{{C}_{10}}{{2}^{0}}{{.3}^{2}}\] Thus, sum of rational terms of above expansion \[={{2}^{5}}+{{3}^{2}}\] \[=32+9=41\]
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