Is zero a perfect square?

1 Answer
Apr 7, 2015

Virtually all definitions of "perfect square" would include #0#; however, for some reason lists of perfect squares seldom (if ever) include #0#.

Typical definitions are something like
A perfect square is the product of two equal integers;
A perfect square is a number whose square root is a rational value.

A bit of consideration should convince you that both of these definitions should include the value #0#.