Números construtíveis: história, álgebra e construções geométricas

Abstract

In this work, we present a study on the history and algebraic theory involved in the so-called constructible numbers. We also introduce some didactic activities using the Geogebra software in the discussion of geometric constructions. Thus, we propose an approach to the study of constructible numbers through ruler and compass constructions in high school classes, relating it to the study of algebra.