What 2 square numbers subtract to make 6592?

What two square numbers subtract to make 6592? In other words, when you subtract one square number from another square number, the answer is 6592. 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 = 6592

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

119² - 87² = 6592

119² is 14161 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 6592?" is 14161 and 7569 as illustrated below:

14161 - 7569 = 6592

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 6592. Below we list alternate solutions if available.

45796 - 39204 = 6592
173056 - 166464 = 6592
682276 - 675684 = 6592

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What 2 square numbers subtract to make 6593?
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