The number of rational terms in the binomial expansion of ( 4^1 / 4 + 5^1 / 6 )^120 is _______________.

The number of rational terms in the binomial expansion ... | (Mathematics)

${\left( {{4^{{1 \over 4}}} + {5^{{1 \over 6}}}} \right)^{120}}$ $\\{T_{r + 1}} = {}^{120}{C_r}{({2^{1/2}})^{120 - r}}{(5)^{r/6}}\\$ for rational terms r = 6 $\lambda$ 0 $\le$ r $\le$ 120 $\\$ So total no of terms are 21.

Explanation

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