Question: The number of rational term in the expansion of (1 + $\sqrt{2}$+ $\sqrt[3]{5}$)<sup>6</sup> is ...

Question

The number of rational term in the expansion of

(1 + $\sqrt{2}$ + $\sqrt[3]{5}$ )⁶ is -

Answer 1

(1 + 2^1/2 + 5^1/3) ⁶

power :

$\begin{matrix} 0 & 0 & 6 \\ 3 & 0 & 3 \\ 1 & 2 & 3 \\ 0 & 6 & 0 \\ 2 & 4 & 0 \\ 4 & 2 & 0 \\ 6 & 0 & 0 \end{matrix}$ seven cases

Question: The number of rational term in the expansion of (1 + \(\sqrt{2}\)+ \(\sqrt[3]{5}\))<sup>6</sup> is ...