What 2 square numbers subtract to make 996?

What two square numbers subtract to make 996? In other words, when you subtract one square number from another square number, the answer is 996. 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 = 996

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

86² - 80² = 996

86² is 7396 and 80² is 6400, therefore the answer to the question "What 2 square numbers subtract to make 996?" is 7396 and 6400 as illustrated below:

7396 - 6400 = 996

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 996. Below we list alternate solutions if available.

62500 - 61504 = 996

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