use euclids division lemmma to show that the sqaure of any positive integere either in the
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Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. Let us assume that any positive integer 'n' be of the form 3q or, 3q+1 or 3q+2. Therefore, the square of any positive integer is of the form 3m or 3m + 1 but not of the form 3m + 2.
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