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2 is not a fraction which means that there is a point on the number which cannot be obtained by a process of equal subdivision

2 is not a fraction which means that there is a point on the number which cannot be obtained by a process of equal subdivision and counting as described in the definition of a fraction. It follows that there do not exist natural numbers a, b with a2/b2 = 2. Use this fact to show that there do not exist natural numbers n, m such that n2/m2 = 9/2.

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