Find the term independent of `x` in the expansion off the following expression: `(root(3)x+1/(2root(3)x))^(18),\ x >0`

Explanation

`(root[3]{x}+frac{1}{2 root[3]{x}})^{18} `


`T_{r+1}=\ ^{18} C_{r}(x^{1 / 3})^{18-r}(frac{1}{2 x^{1 / 3}})^{r} `


`=\ ^{18} C_{r} times frac{1}{2^{r}} x^{frac{18 x-r}{3}}-frac{r}{3}`


term to be independent of `r`, we have
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