Question

prove that algebraic numbers are countable in number theory​

Answer 1

Answer:

a0zn + a1zn−1 + ··· + an−1z + an = 0. roots, so the set of all possible roots of all polynomials with integer coefficients is a countable union of finite sets, hence at most countable. It is obvious that the set is not finite, so the set of all algebraic numbers are countable.

Answer 2

Answer:

a0zn + a1zn−1 + ··· + an−1z + an = 0. roots, so the set of all possible roots of all polynomials with integer coefficients is a countable union of finite sets, hence at most countable. It is obvious that the set is not finite, so the set of all algebraic numbers are countable.

Step-by-step explanation:

I HOPE MY ANSWER WILL HELP U AND I AM THE FIRST ONE TO ANSWER YOUR QUESTION CAN U PLZ PLZ FOLLOW ME ....