Irrational number
Transcendental

Almost all irrational numbers are transcendental. Examples are e and π, which are transcendental for all nonzero rational r.

Because the algebraic numbers form a subfield of the real numbers, many irrational real numbers can be constructed by combining transcendental and algebraic numbers. For example, 3 π + 2, π + √ 2 and e √ 3 are irrational (and even transcendental).
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