What 2 square numbers subtract to make 8579?

What two square numbers subtract to make 8579? In other words, when you subtract one square number from another square number, the answer is 8579. 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 = 8579

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

198² - 175² = 8579

198² is 39204 and 175² is 30625, therefore the answer to the question "What 2 square numbers subtract to make 8579?" is 39204 and 30625 as illustrated below:

39204 - 30625 = 8579

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 8579. Below we list alternate solutions if available.

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