polynomial such that p($\sqrt2$+$\sqrt3$)=0

Question

Are these following exercises equivalent?

1. Let $\mathbb R$ be an extension of $\mathbb Q$.Find a polynomial p(x) in $\mathbb Q$[x]-{$0$} such that p($\sqrt2$+$\sqrt3$)=$0$.

and

2.Find the minimal polynomial of $\sqrt2$+$\sqrt3$ over$\mathbb Q$[x]