What is a square number? Is one a square number?
Square numbers are those positive integers that form a square
if you put pebbles in the sand to form a square. The first
square number is 4 -- four pebbles at the vertices of a square,
the next square number is 9 -- a set of 3x3 pebbles, the next is
16 -- a set of 4x4 pebbles -- and so on. Square numbers have
special properties in the area of mathematics known as "number
theory". I do not think that '1' is considered a square number.
Multiply any integer by itself to yield a square number.
And so on.
Dr. Ken Mellendorf
Illinois Central College
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Update: June 2012