What 2 square numbers subtract to make 2580?

What two square numbers subtract to make 2580? In other words, when you subtract one square number from another square number, the answer is 2580. 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 = 2580

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

58² - 28² = 2580

58² is 3364 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 2580?" is 3364 and 784 as illustrated below:

3364 - 784 = 2580

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 2580. Below we list alternate solutions if available.

17956 - 15376 = 2580
47524 - 44944 = 2580
417316 - 414736 = 2580

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