WBJEE · Maths · Binomial Theorem
The number of irrational terms in the expansion of \(\left(3^{\frac{1}{8}}+5^{\frac{1}{4}}\right)^{84}\) is
- A 73
- B 74
- C 75
- D 76
Answer & Solution
Correct Answer
(B) 74
Step-by-step Solution
Detailed explanation
Given, \(\left(3^{\frac{1}{8}}+5^{\frac{1}{4}}\right)^{84}\) \(\begin{aligned} \text { here, } T_{r+1} &={ }^{84} C_{r}\left(3^{\frac{1}{8}}\right)^{84-r}\left(5^{\frac{1}{4}}\right)^{r} \\ &={ }^{84} C_{r}\left(3^{\frac{84-r}{8}}\right) \cdot 5^{\frac{r}{4}} \end{aligned}\)…
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