What 2 square numbers subtract to make 9936?

What two square numbers subtract to make 9936? In other words, when you subtract one square number from another square number, the answer is 9936. 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 = 9936

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

100² - 8² = 9936

100² is 10000 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 9936?" is 10000 and 64 as illustrated below:

10000 - 64 = 9936

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 9936. Below we list alternate solutions if available.

11025 - 1089 = 9936
14161 - 4225 = 9936
17161 - 7225 = 9936

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