Odd and Even Square Numbers
Squares of even numbers are even (and in fact divisible by 4), since (2n)2 = 4n2.
Squares of odd numbers are odd, since (2n + 1)2 = 4(n2 + n) + 1.
It follows that square roots of even square numbers are even, and square roots of odd square numbers are odd.
Read more about this topic: Square Number
Famous quotes containing the words odd, square and/or numbers:
“Young people love what is interesting and odd, no matter how true or false it is. More mature minds love what is interesting and odd about truth. Fully mature intellects, finally, love truth, even when it appears plain and simple, boring to the ordinary person; for they have noticed that truth tends to reveal its highest wisdom in the guise of simplicity.”
—Friedrich Nietzsche (1844–1900)
“A man who is good enough to shed his blood for his country is good enough to be given a square deal afterwards. More than that no man is entitled to, and less than that no man shall have.”
—Theodore Roosevelt (1858–1919)
“Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?”
—Ralph Waldo Emerson (1803–1882)