- #1

chwala

Gold Member

- 1,986

- 258

- TL;DR Summary
- A number is called an algebraic number if it is a solution of a polynomial equation ##a_0 z^n+a_1z^{n-1} + ... a_{n-1}z + a_n =0## where ##a_0,a_1 ...a_n## are integers...otherwise transcendental.

My question is [following the example on the attachment which is apparently clear to me].

1. Are the numbers ##eπ## and ##e+ π## Transcendental?

2. Algebraic numbers can also be rational and not necessarily integers? is that correct?

1. Are the numbers ##eπ## and ##e+ π## Transcendental?

2. Algebraic numbers can also be rational and not necessarily integers? is that correct?