What 2 square numbers subtract to make 8816?

What two square numbers subtract to make 8816? In other words, when you subtract one square number from another square number, the answer is 8816. 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 = 8816

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

96² - 20² = 8816

96² is 9216 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 8816?" is 9216 and 400 as illustrated below:

9216 - 400 = 8816

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 8816. Below we list alternate solutions if available.

11025 - 2209 = 8816
18225 - 9409 = 8816
308025 - 299209 = 8816

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