What 2 square numbers subtract to make 8080?


What two square numbers subtract to make 8080? In other words, when you subtract one square number from another square number, the answer is 8080. 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 = 8080

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

1212 - 812 = 8080

1212 is 14641 and 812 is 6561, therefore the answer to the question "What 2 square numbers subtract to make 8080?" is 14641 and 6561 as illustrated below:

14641 - 6561 = 8080


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 8080. Below we list alternate solutions if available.

44944 - 36864 = 8080
167281 - 159201 = 8080
259081 - 251001 = 8080

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