What 2 square numbers subtract to make 8592?

What two square numbers subtract to make 8592? In other words, when you subtract one square number from another square number, the answer is 8592. 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 = 8592

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

191² - 167² = 8592

191² is 36481 and 167² is 27889, therefore the answer to the question "What 2 square numbers subtract to make 8592?" is 36481 and 27889 as illustrated below:

36481 - 27889 = 8592

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 8592. Below we list alternate solutions if available.

132496 - 123904 = 8592
292681 - 284089 = 8592
516961 - 508369 = 8592

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What 2 square numbers subtract to make 8593?
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