What 2 square numbers subtract to make 2639?

What two square numbers subtract to make 2639? In other words, when you subtract one square number from another square number, the answer is 2639. 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 = 2639

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

60² - 31² = 2639

60² is 3600 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 2639?" is 3600 and 961 as illustrated below:

3600 - 961 = 2639

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 2639. Below we list alternate solutions if available.

11664 - 9025 = 2639
36864 - 34225 = 2639

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