Prove that A e +



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Prove that A e + B / e is irrational.

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Beginner2022-06-28Added 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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