algebraic number

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A real number that is the root of a polynomial equation with integer coefficients. All rational numbers are algebraic, since a/b is the root of the equation bxa=0. Some irrational numbers are algebraic; for example, a/b is the root of the equation x2−2=0. An irrational number that is not algebraic (such as π) is called a transcendental number.

Subjects: Mathematics.

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