What 2 square numbers subtract to make 112?

What two square numbers subtract to make 112? In other words, when you subtract one square number from another square number, the answer is 112. 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 = 112

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

11² - 3² = 112

11² is 121 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 112?" is 121 and 9 as illustrated below:

121 - 9 = 112

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 112. Below we list alternate solutions if available.

256 - 144 = 112
841 - 729 = 112

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