What 2 square numbers subtract to make 8196?

What two square numbers subtract to make 8196? In other words, when you subtract one square number from another square number, the answer is 8196. 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 = 8196

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

686² - 680² = 8196

686² is 470596 and 680² is 462400, therefore the answer to the question "What 2 square numbers subtract to make 8196?" is 470596 and 462400 as illustrated below:

470596 - 462400 = 8196

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 8196. Below we list alternate solutions if available.

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