What 2 square numbers subtract to make 9008?

What two square numbers subtract to make 9008? In other words, when you subtract one square number from another square number, the answer is 9008. 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 = 9008

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

567² - 559² = 9008

567² is 321489 and 559² is 312481, therefore the answer to the question "What 2 square numbers subtract to make 9008?" is 321489 and 312481 as illustrated below:

321489 - 312481 = 9008

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 9008. Below we list alternate solutions if available.

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