What 2 square numbers subtract to make 8567?

What two square numbers subtract to make 8567? In other words, when you subtract one square number from another square number, the answer is 8567. 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 = 8567

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

336² - 323² = 8567

336² is 112896 and 323² is 104329, therefore the answer to the question "What 2 square numbers subtract to make 8567?" is 112896 and 104329 as illustrated below:

112896 - 104329 = 8567

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 8567. Below we list alternate solutions if available.

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