A) 32
B) 25
C) 41
D) 9
Correct Answer: C
Solution :
\[{{T}_{r+1}}{{=}^{10}}{{C}_{r}}{{(2)}^{\frac{r}{2}}}.{{\left( {{3}^{\frac{1}{5}}} \right)}^{10-r}}{{=}^{10}}{{C}_{r}}{{.2}^{\frac{r}{2}}}{{.3}^{\frac{10-r}{5}}}\] \[r=0,\,\,1,\,\,2,\,......,\,\,9,\,10\] \[\therefore \]For rational terms,\[r=0,\,\,r=10\] So, sum of rational terms\[=9+32=41\]You need to login to perform this action.
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