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Basically, a number is transcendental if it isn't the solution of a polynomial equation. An example would be PI.
Pi.
No, it is irrational. Furthermore, it is transcendental.
pi is a Transcendental Number.
π is a transcendental number which is defined to be the ratio between the diameter and circumference of any circle. (A transcendental number is a number which is not a root of a non-zero polynomial with rational coefficients.)