What 2 square numbers subtract to make 1112?

What two square numbers subtract to make 1112? In other words, when you subtract one square number from another square number, the answer is 1112. 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 = 1112

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

141² - 137² = 1112

141² is 19881 and 137² is 18769, therefore the answer to the question "What 2 square numbers subtract to make 1112?" is 19881 and 18769 as illustrated below:

19881 - 18769 = 1112

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 1112. Below we list alternate solutions if available.

77841 - 76729 = 1112

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