What 2 square numbers subtract to make 8640?

What two square numbers subtract to make 8640? In other words, when you subtract one square number from another square number, the answer is 8640. 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 = 8640

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

93² - 3² = 8640

93² is 8649 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 8640?" is 8649 and 9 as illustrated below:

8649 - 9 = 8640

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 8640. Below we list alternate solutions if available.

8836 - 196 = 8640
9216 - 576 = 8640
10404 - 1764 = 8640

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What 2 square numbers subtract to make 8641?
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