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An algebraic number is any complex number that is a root of a non-zero polynomial in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients

An algebraic number is any complex number
that is a root of a non-zero polynomial in one variable with rational
coefficients (or equivalently – by clearing denominators – with integer
coefficients). All integers and rational numbers are algebraic, as are all roots of integers.