Wikipedia : In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with rational (or equivalently, integer) coefficients.
Question : Show that the Set of algebraic number in $\mathbb{C}$ is countable ?
Hint : if $\mathbb{F(z) = a_ 0 + a_1z + .... + a_nz^n}$ we denote the Height of a polynomial as : $\mathbb{h = |a_0| + |a_1| + ...... + |a_n| + n}$
PS : i have already solve it , i am looking for different way to solve it ;)