transcendental number

transcendental number
a number that is not a root of any algebraic equation having integral coefficients, as pi or e. Also called transcendental.

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Number that is not algebraic, in the sense that it is not the solution of an algebraic equation with rational-number coefficients.

The numbers e and π, as well as any algebraic number raised to the power of an irrational number, are transcendental numbers.

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Universalium. 2010.

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