Determine the minimal polynomial of $v=\sqrt{3}+\sqrt[3]{2}$ over $\mathbb Q[x]$.
Can't find the right calculations. I am trying to find another way. I know the minimum polynomial of $w=\sqrt{3}+\sqrt{2}$ but still that does not help. I know it must be of degree 6 since the field extension of $\sqrt{3}$ + $\sqrt[3]{2}$ has degree 6.