What 2 square numbers subtract to make 6780?

What two square numbers subtract to make 6780? In other words, when you subtract one square number from another square number, the answer is 6780. 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 = 6780

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

128² - 98² = 6780

128² is 16384 and 98² is 9604, therefore the answer to the question "What 2 square numbers subtract to make 6780?" is 16384 and 9604 as illustrated below:

16384 - 9604 = 6780

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 6780. Below we list alternate solutions if available.

118336 - 111556 = 6780
322624 - 315844 = 6780

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