What 2 square numbers subtract to make 639?

What two square numbers subtract to make 639? In other words, when you subtract one square number from another square number, the answer is 639. 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 = 639

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

40² - 31² = 639

40² is 1600 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 639?" is 1600 and 961 as illustrated below:

1600 - 961 = 639

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 639. Below we list alternate solutions if available.

11664 - 11025 = 639
102400 - 101761 = 639

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