Show that the square of an odd positive integer is of the form 8q+1
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Let a be any positive integer
According to Euclids division lemma
a = bq + r
b = 8
so the possible values of r = 0,1,2,3,4,5,6,7
a = 8q ( it is even)
a = 8q + 1 ( it is odd)
..........and so on
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