Prove that square of an odd integer is odd.
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Proof: Let x be an arbitrary odd number. By definition, an odd number is an integer that can be written in the form 2k + 1, for some integer k. This means we can write x = 2k + 1, where k is some integer. ... Since this logic works for any odd number x, we have shown that the square of any odd number is odd.
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as per the property no 4 of squares
square of an odd number is always an odd number
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