What 2 square numbers subtract to make 6824?

What two square numbers subtract to make 6824? In other words, when you subtract one square number from another square number, the answer is 6824. 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 = 6824

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

855² - 851² = 6824

855² is 731025 and 851² is 724201, therefore the answer to the question "What 2 square numbers subtract to make 6824?" is 731025 and 724201 as illustrated below:

731025 - 724201 = 6824

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 6824. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6825?
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