What 2 square numbers subtract to make 8880?

What two square numbers subtract to make 8880? In other words, when you subtract one square number from another square number, the answer is 8880. 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 = 8880

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

97² - 23² = 8880

97² is 9409 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 8880?" is 9409 and 529 as illustrated below:

9409 - 529 = 8880

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 8880. Below we list alternate solutions if available.

10816 - 1936 = 8880
17161 - 8281 = 8880
26569 - 17689 = 8880

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What 2 square numbers subtract to make 8881?
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