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Assume you have a signal ##f## with period ##T_f## and a signal ##g## with period ##T_g##. Then the signal ##h= f+g## is periodic iff ##T_f/T_g \in \mathbb{Q}##.

So if ##T_f/T_g## is an irrational number, the signal ##h## will not be periodic. Why is this actually the case?