square roots of positive integers are : either rational or irrational why?
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Prove that the square root of a positive integer is either an integer or irrational. ... If √n is an integer, then √n must be rational. Since √n is an integer, we can conclude that n is a square number, that is for some integer a. Therefore, if n is a square number, then √n is rational.
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Prove that the square root of a positive integer is either an integer or irrational. ... If √n is an integer, then √n must be rational. Since √n is an integer, we can conclude that n is a square number, that is for some integer a. Therefore, if n is a square number, then √n is rational.
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