What 2 square numbers subtract to make 255?

What two square numbers subtract to make 255? In other words, when you subtract one square number from another square number, the answer is 255. 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 = 255

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

16² - 1² = 255

16² is 256 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 255?" is 256 and 1 as illustrated below:

256 - 1 = 255

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 255. Below we list alternate solutions if available.

784 - 529 = 255
1936 - 1681 = 255
16384 - 16129 = 255

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