What 2 square numbers subtract to make 6804?

What two square numbers subtract to make 6804? In other words, when you subtract one square number from another square number, the answer is 6804. 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 = 6804

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

90² - 36² = 6804

90² is 8100 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 6804?" is 8100 and 1296 as illustrated below:

8100 - 1296 = 6804

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 6804. Below we list alternate solutions if available.

10404 - 3600 = 6804
39204 - 32400 = 6804
62500 - 55696 = 6804

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What 2 square numbers subtract to make 6805?
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