# The sum of rational terms in the expansion of $(2^{\large\frac{1}{5}}$$+\sqrt 3)^{20} is ## 1 Answer General term T_{r+1} in the expansion of (2^{\large\frac{1}{5}}$$+\sqrt 3)^{20}$ is
$^{20}C_r.(2^{\large\frac{1}{5}}$$)^{20-r}.\sqrt 3^r =^{20}C_r.2^{4-\large\frac{r}{5}}$$.3^{\large\frac{r}{5}}$
Since $2$ and $3$ are relatively prime,