What 2 square numbers subtract to make 872?

What two square numbers subtract to make 872? In other words, when you subtract one square number from another square number, the answer is 872. 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 = 872

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

111² - 107² = 872

111² is 12321 and 107² is 11449, therefore the answer to the question "What 2 square numbers subtract to make 872?" is 12321 and 11449 as illustrated below:

12321 - 11449 = 872

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 872. Below we list alternate solutions if available.

47961 - 47089 = 872

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