What 2 square numbers subtract to make 8639?

What two square numbers subtract to make 8639? In other words, when you subtract one square number from another square number, the answer is 8639. 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 = 8639

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

108² - 55² = 8639

108² is 11664 and 55² is 3025, therefore the answer to the question "What 2 square numbers subtract to make 8639?" is 11664 and 3025 as illustrated below:

11664 - 3025 = 8639

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 8639. Below we list alternate solutions if available.

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