What 2 square numbers subtract to make 8939?

What two square numbers subtract to make 8939? In other words, when you subtract one square number from another square number, the answer is 8939. 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 = 8939

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

642² - 635² = 8939

642² is 412164 and 635² is 403225, therefore the answer to the question "What 2 square numbers subtract to make 8939?" is 412164 and 403225 as illustrated below:

412164 - 403225 = 8939

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 8939. Below we list alternate solutions if available.

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