What 2 square numbers subtract to make 31?

What two square numbers subtract to make 31? In other words, when you subtract one square number from another square number, the answer is 31. 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 = 31

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

16² - 15² = 31

16² is 256 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 31?" is 256 and 225 as illustrated below:

256 - 225 = 31

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 31. Below we list alternate solutions if available.

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