What 2 square numbers subtract to make 8197?

What two square numbers subtract to make 8197? In other words, when you subtract one square number from another square number, the answer is 8197. 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 = 8197

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

589² - 582² = 8197

589² is 346921 and 582² is 338724, therefore the answer to the question "What 2 square numbers subtract to make 8197?" is 346921 and 338724 as illustrated below:

346921 - 338724 = 8197

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 8197. Below we list alternate solutions if available.

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