What 2 square numbers subtract to make 4080?

What two square numbers subtract to make 4080? In other words, when you subtract one square number from another square number, the answer is 4080. 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 = 4080

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

64² - 4² = 4080

64² is 4096 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 4080?" is 4096 and 16 as illustrated below:

4096 - 16 = 4080

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 4080. Below we list alternate solutions if available.

5041 - 961 = 4080
5929 - 1849 = 4080
6889 - 2809 = 4080

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