What 2 square numbers subtract to make 6816?

What two square numbers subtract to make 6816? In other words, when you subtract one square number from another square number, the answer is 6816. 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 = 6816

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

95² - 47² = 6816

95² is 9025 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 6816?" is 9025 and 2209 as illustrated below:

9025 - 2209 = 6816

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 6816. Below we list alternate solutions if available.

23716 - 16900 = 6816
48841 - 42025 = 6816
84100 - 77284 = 6816

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