I know what is constructible numbers and I know to how to prove a set is countable by bijection but I don't know how to prove the set of constructible numbers is countable.
2026-04-13 21:05:11.1776114311
how to prove the set of constructible numbers is countable?
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Hint:
develop this idea:
the constructible numbers are a subset of the algebraic numbers and this is a countable set because the algebric numbers are roots of a polynomial and the set of polynomials is countable and any polynomial has a finite number of roots.