Transcendental means a number that is not a root of any polynomial with rational coefficients. The base you count in doesn't affect this definition, those are j

Transcendental means a number that is not a root of any polynomial with rational coefficients. The base you count in doesn't affect this definition, those are just different ways of writing down numbers, the numbers themselves don't change. The rational numbers and integers are still the same whatever base you use. 1 is still 1 in any base, there's only one multiplicative identity. In base pi, 10 (pi) is transcendental. I do get what you're trying to ask, the other reply has a more useful comment.