What 2 square numbers subtract to make 1040?


What two square numbers subtract to make 1040? In other words, when you subtract one square number from another square number, the answer is 1040. 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 = 1040

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

332 - 72 = 1040

332 is 1089 and 72 is 49, therefore the answer to the question "What 2 square numbers subtract to make 1040?" is 1089 and 49 as illustrated below:

1089 - 49 = 1040


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 1040. Below we list alternate solutions if available.

1296 - 256 = 1040
3249 - 2209 = 1040
4761 - 3721 = 1040

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