algebraic number
complex number that is a root of a non-zero polynomial in one variable with rational coefficients
quadratic irrational
irrational root of a quadratic equation with integer coefficients
algebraic integer
complex number that solves a monic polynomial with integer coefficients
twelfth root of two
algebraic irrational number
golden ratio
ratio between two quantities whose sum is at the same ratio to the larger one
constructible number
real number that can be geometrically constructed with compass and straightedge from a unit segment in a finite number of steps