What 2 square numbers subtract to make 9984?

What two square numbers subtract to make 9984? In other words, when you subtract one square number from another square number, the answer is 9984. 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 = 9984

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

100² - 4² = 9984

100² is 10000 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 9984?" is 10000 and 16 as illustrated below:

10000 - 16 = 9984

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 9984. Below we list alternate solutions if available.

10609 - 625 = 9984
12100 - 2116 = 9984
14884 - 4900 = 9984

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