What 2 square numbers subtract to make 2760?

What two square numbers subtract to make 2760? In other words, when you subtract one square number from another square number, the answer is 2760. 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 = 2760

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

53² - 7² = 2760

53² is 2809 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 2760?" is 2809 and 49 as illustrated below:

2809 - 49 = 2760

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 2760. Below we list alternate solutions if available.

3721 - 961 = 2760
6241 - 3481 = 2760
14641 - 11881 = 2760

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