As we continue to add odd numbers we will continue to get perfect squares.
If we restrict ourselves to the 2x2 arrays whose diagonals lie on the main diagonal of the table, then the sum of four numbers in the array is always a perfect square.
When we add the first three odd numbers, one, three and five, we get nine, another perfect square, the square of three.
If this is the same as the original whole number then the original was a perfect square.
Definition of perfect square in US English:
perfect square
noun
1The product of a rational number multiplied by itself.
Example sentencesExamples
If we restrict ourselves to the 2x2 arrays whose diagonals lie on the main diagonal of the table, then the sum of four numbers in the array is always a perfect square.
When we add the first three odd numbers, one, three and five, we get nine, another perfect square, the square of three.
If this is the same as the original whole number then the original was a perfect square.
As we continue to add odd numbers we will continue to get perfect squares.
1.1The product of a polynomial multiplied by itself.