What 2 square numbers subtract to make 2520?

What two square numbers subtract to make 2520? In other words, when you subtract one square number from another square number, the answer is 2520. 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 = 2520

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

51² - 9² = 2520

51² is 2601 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 2520?" is 2601 and 81 as illustrated below:

2601 - 81 = 2520

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 2520. Below we list alternate solutions if available.

2809 - 289 = 2520
3249 - 729 = 2520
3481 - 961 = 2520

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