## algebraic numberA real number that is a root of a polynomial equation with integer coefficients. For example, any rational number a/b,
where a and b are non-zero integers, is an algebraic number
of degree one, because it is a root of the linear equation bx - a
= 0. The square root of two is
an algebraic number of degree two because it is a root of the quadratic
equation x^{2} - 2 = 0. If a real number is not algebraic,
then it is a transcendental number.
Almost all real numbers are transcendental because, whereas the set of algebraic
numbers is countably infinite, the set of transcendental numbers is uncountably
infinite (see infinity). ## Related category• TYPES OF NUMBERS | |||||

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