Link blogged: The pythagorean relationship between Pi, Phi and e" by Peter Felicetti
"In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial with rational coefficients. The best known transcendental numbers are π and e."
Source: https://en.wikipedia.org/wiki/Transcendental_number
Furthermore:
..the square root of 2 is an irrational number, but it is not a transcendental number as it is a root of the polynomial equation x2 − 2 = 0. The golden ratio (denoted or ) is another irrational number that is not transcendental, as it is a root of the polynomial equation x2 − x − 1 = 0.