What 2 square numbers subtract to make 2004?

What two square numbers subtract to make 2004? In other words, when you subtract one square number from another square number, the answer is 2004. 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 = 2004

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

170² - 164² = 2004

170² is 28900 and 164² is 26896, therefore the answer to the question "What 2 square numbers subtract to make 2004?" is 28900 and 26896 as illustrated below:

28900 - 26896 = 2004

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 2004. Below we list alternate solutions if available.

252004 - 250000 = 2004

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