What 2 square numbers subtract to make 6880?

What two square numbers subtract to make 6880? In other words, when you subtract one square number from another square number, the answer is 6880. 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 = 6880

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

83² - 3² = 6880

83² is 6889 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 6880?" is 6889 and 9 as illustrated below:

6889 - 9 = 6880

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 6880. Below we list alternate solutions if available.

11236 - 4356 = 6880
33124 - 26244 = 6880
49729 - 42849 = 6880

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What 2 square numbers subtract to make 6881?
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