What 2 square numbers subtract to make 2080?

What two square numbers subtract to make 2080? In other words, when you subtract one square number from another square number, the answer is 2080. 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 = 2080

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

46² - 6² = 2080

46² is 2116 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 2080?" is 2116 and 36 as illustrated below:

2116 - 36 = 2080

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 2080. Below we list alternate solutions if available.

2809 - 729 = 2080
3844 - 1764 = 2080
5329 - 3249 = 2080

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