Question

State true or false-'The square of an odd number is odd

Answer 1

Answer: True

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Answer 2

Answer:

Squares of odd numbers are odd, since (2n + 1)2 = 4(n2 + n) + 1. It follows that square rootsof even square numbers are even, and square roots of odd square numbers are odd. As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers.