What 2 square numbers subtract to make 412?


What two square numbers subtract to make 412? In other words, when you subtract one square number from another square number, the answer is 412. 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 = 412

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

1042 - 1022 = 412

1042 is 10816 and 1022 is 10404, therefore the answer to the question "What 2 square numbers subtract to make 412?" is 10816 and 10404 as illustrated below:

10816 - 10404 = 412


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 412. Below we list alternate solutions if available.

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