question archive Show that there is a constant C such that if m and n are positive integers then |m/n - sqrt(2) |> C

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Show that there is a constant C such that if m and n are positive integers then

|m/n - sqrt(2) |> C.

n^2. (Hint: Consider the product

[m/n -sqrt(2)][m/n +sqrt(2)]

This cannot be 0.)