Prove that A e +

pokoljitef2 2022-06-27 Answered
Prove that A e + B / e is irrational.
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Answers (1)

candelo6a
Answered 2022-06-28 Author has 24 answers
Suppose that A e + B / e is rational. Then A e + B / e = p / q for some p , q Z . Then A e 2 p q e + B = 0. Clearing denominators gives us e as a root of A q x 2 p x + B q which is impossible since e is transcendental.
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