What 2 square numbers subtract to make 9684?

What two square numbers subtract to make 9684? In other words, when you subtract one square number from another square number, the answer is 9684. 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 = 9684

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

278² - 260² = 9684

278² is 77284 and 260² is 67600, therefore the answer to the question "What 2 square numbers subtract to make 9684?" is 77284 and 67600 as illustrated below:

77284 - 67600 = 9684

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 9684. Below we list alternate solutions if available.

656100 - 646416 = 9684

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