How To Use Transcendental number In A Sentence

Mathematicians had regarded algebraic numbers as, in some sense, simpler than transcendental numbers.

Of the irrational, transcendental numbers, pi seems to get all the attention.

The very names negative numbers, irrational numbers, transcendental numbers, imaginary numbers, and ideal points at infinity indicate ambivalence.

In 1851 he published results on transcendental numbers removing the dependence on continued fractions.

Liouville had introduced such numbers as examples of transcendental numbers  real numbers that are not roots of polynomial equations with integer coefficients.

Rational like integers or fractions, irrational like algebra or transcendental numbers.
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As with his intermediate views on genuine irrationals and the Multiplicative Axiom, Wittgenstein here looks at the diagonal proof of the nondenumerability of “the set of transcendental numbers” as one that shows only that transcendental numbers cannot be recursively enumerated.
Wittgenstein's Philosophy of Mathematics

A transcendental number is an irrational number that is not a root of any polynomial equation with integer coefficients.