What 2 square numbers subtract to make 9996?

What two square numbers subtract to make 9996? In other words, when you subtract one square number from another square number, the answer is 9996. 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 = 9996

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

100² - 2² = 9996

100² is 10000 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 9996?" is 10000 and 4 as illustrated below:

10000 - 4 = 9996

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 9996. Below we list alternate solutions if available.

19600 - 9604 = 9996
26896 - 16900 = 9996
132496 - 122500 = 9996

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