What 2 square numbers subtract to make 2592?

What two square numbers subtract to make 2592? In other words, when you subtract one square number from another square number, the answer is 2592. 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 = 2592

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

51² - 3² = 2592

51² is 2601 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 2592?" is 2601 and 9 as illustrated below:

2601 - 9 = 2592

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 2592. Below we list alternate solutions if available.

2916 - 324 = 2592
4356 - 1764 = 2592
6561 - 3969 = 2592

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