What 2 square numbers subtract to make 4112?

What two square numbers subtract to make 4112? In other words, when you subtract one square number from another square number, the answer is 4112. 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 = 4112

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

261² - 253² = 4112

261² is 68121 and 253² is 64009, therefore the answer to the question "What 2 square numbers subtract to make 4112?" is 68121 and 64009 as illustrated below:

68121 - 64009 = 4112

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 4112. Below we list alternate solutions if available.

266256 - 262144 = 4112

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