Show that 5 - 73 is irrational.
Solution Therefore, 5- = 3 e a 56-a Rearranging this equation, we get 13 to Since a and b are integers, we get 5 -- is rational, and so V3 is rational But this contradicts the fact that V3 is irrational. This contradiction has arisen because of our incorrect assumption that 5-13 is rational. So, we conclude that 5-13 is irrational.
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