In this exercise, you'll work through an important example using the number a = $\sqrt{2}$ + $\sqrt[3]{2}$. A basis for Q(a) = {1, a, a$^2$, a$^3$, a$^4$, a$^5$}. Find a degree 6 monic polynomial p(x) of which a is a zero. It turns out that p(x) is its minimal polynomial, but don't waste your time proving that fact