What 2 square numbers subtract to make 9216?

What two square numbers subtract to make 9216? In other words, when you subtract one square number from another square number, the answer is 9216. 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 = 9216

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

100² - 28² = 9216

100² is 10000 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 9216?" is 10000 and 784 as illustrated below:

10000 - 784 = 9216

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 9216. Below we list alternate solutions if available.

10816 - 1600 = 9216
14400 - 5184 = 9216
21316 - 12100 = 9216

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