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)
“Mark you the floore? that square & speckled stone,
Which looks so firm and strong,
Is Patience:”
—George Herbert (1593–1633)
“The land cannot be cleansed of the blood that is shed therein, but by the blood of him that shed it.”
—Bible: Hebrew Numbers 35:33.