What 2 square numbers subtract to make 8255?

What two square numbers subtract to make 8255? In other words, when you subtract one square number from another square number, the answer is 8255. 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 = 8255

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

96² - 31² = 8255

96² is 9216 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 8255?" is 9216 and 961 as illustrated below:

9216 - 961 = 8255

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 8255. Below we list alternate solutions if available.

104976 - 96721 = 8255
685584 - 677329 = 8255

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