What 2 square numbers subtract to make 8784?

What two square numbers subtract to make 8784? In other words, when you subtract one square number from another square number, the answer is 8784. 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 = 8784

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

97² - 25² = 8784

97² is 9409 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 8784?" is 9409 and 625 as illustrated below:

9409 - 625 = 8784

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 8784. Below we list alternate solutions if available.

19600 - 10816 = 8784
38025 - 29241 = 8784
64009 - 55225 = 8784

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