What 2 square numbers subtract to make 6828?

What two square numbers subtract to make 6828? In other words, when you subtract one square number from another square number, the answer is 6828. 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 = 6828

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

572² - 566² = 6828

572² is 327184 and 566² is 320356, therefore the answer to the question "What 2 square numbers subtract to make 6828?" is 327184 and 320356 as illustrated below:

327184 - 320356 = 6828

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 6828. Below we list alternate solutions if available.

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