What 2 square numbers subtract to make 6684?

What two square numbers subtract to make 6684? In other words, when you subtract one square number from another square number, the answer is 6684. 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 = 6684

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

560² - 554² = 6684

560² is 313600 and 554² is 306916, therefore the answer to the question "What 2 square numbers subtract to make 6684?" is 313600 and 306916 as illustrated below:

313600 - 306916 = 6684

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 6684. Below we list alternate solutions if available.

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