What 2 square numbers subtract to make 3501?


What two square numbers subtract to make 3501? In other words, when you subtract one square number from another square number, the answer is 3501. 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 = 3501

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

1992 - 1902 = 3501

1992 is 39601 and 1902 is 36100, therefore the answer to the question "What 2 square numbers subtract to make 3501?" is 39601 and 36100 as illustrated below:

39601 - 36100 = 3501


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 3501. Below we list alternate solutions if available.

342225 - 338724 = 3501

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