What 2 square numbers subtract to make 8199?

What two square numbers subtract to make 8199? In other words, when you subtract one square number from another square number, the answer is 8199. 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 = 8199

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

460² - 451² = 8199

460² is 211600 and 451² is 203401, therefore the answer to the question "What 2 square numbers subtract to make 8199?" is 211600 and 203401 as illustrated below:

211600 - 203401 = 8199

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 8199. Below we list alternate solutions if available.

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