The number of rational terms in the binomial | vedclass

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Question

$\left(4^{1 / 4}+5^{1 / 6}\right)^{120}$

$T_{r+1}={ }^{120} C_{r}\left(2^{1 / 2}\right)^{120-r}(5)^{r / 6}$

for rational terms $\mathrm{r}=6 \la

Vedclass · Accepted Answer

$21$

Vedclass · Answer

$\left(4^{1 / 4}+5^{1 / 6}\right)^{120}$

$T_{r+1}={ }^{120} C_{r}\left(2^{1 / 2}\right)^{120-r}(5)^{r / 6}$

for rational terms $\mathrm{r}=6 \lambda\,\,\,\, 0 \leq \mathrm{r} \leq 120$

so total no of forms are $21$

The number of rational terms in the binomial expansion of $\left(4^{\frac{1}{4}}+5^{\frac{1}{6}}\right)^{120}$ is $....$

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