What 2 square numbers subtract to make 696?

What two square numbers subtract to make 696? In other words, when you subtract one square number from another square number, the answer is 696. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 696

We solved the equation above and found this to be true:

35² - 23² = 696

35² is 1225 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 696?" is 1225 and 529 as illustrated below:

1225 - 529 = 696

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 696. Below we list alternate solutions if available.

3721 - 3025 = 696
7921 - 7225 = 696
30625 - 29929 = 696

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