A) 55
B) 54
C) 48
D) 49
Correct Answer: B
Solution :
Given expression is \[{{({{7}^{1/5}}-{{3}^{1/10}})}^{60}}\] General term of this expansion is \[{{T}_{r+1}}={{(-1)}^{r}}{{\,}^{60}}{{C}_{r}}{{7}^{\frac{60-r}{5}}}{{3}^{\frac{r}{10}}}\] For rational terms, r = 0, 10, 20, 30, 40, 50, 60 So, number of rational terms = 7. \[\therefore \]Number of irrational terms =\[61-7=54\].You need to login to perform this action.
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