What 2 square numbers subtract to make 3215?

What two square numbers subtract to make 3215? In other words, when you subtract one square number from another square number, the answer is 3215. 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 = 3215

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

324² - 319² = 3215

324² is 104976 and 319² is 101761, therefore the answer to the question "What 2 square numbers subtract to make 3215?" is 104976 and 101761 as illustrated below:

104976 - 101761 = 3215

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 3215. Below we list alternate solutions if available.

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