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:
“I wonder if his appetite was good?
Or, if it were, if also his digestion?
Methinks at meals some odd thoughts might intrude,
And conscience ask a curious sort of question,
About the right divine how far we should
Sell flesh and blood.”
—George Gordon Noel Byron (1788–1824)
“I walked by the Union Square Bar, I was gonna go in. And I saw myself, my reflection in the window. And I thought, “I wonder who that bum is.” And then I saw it was me. Now look at me, I’m a bum. Look at me. Look at you. You’re a bum.”
—J.P. (James Pinckney)
“One murder makes a villain, millions a hero. Numbers sanctify, my good fellow.”
—Charlie Chaplin (1889–1977)