What 2 square numbers subtract to make 8684?

What two square numbers subtract to make 8684? In other words, when you subtract one square number from another square number, the answer is 8684. 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 = 8684

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

180² - 154² = 8684

180² is 32400 and 154² is 23716, therefore the answer to the question "What 2 square numbers subtract to make 8684?" is 32400 and 23716 as illustrated below:

32400 - 23716 = 8684

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 8684. Below we list alternate solutions if available.

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