What 2 square numbers subtract to make 2008?

What two square numbers subtract to make 2008? In other words, when you subtract one square number from another square number, the answer is 2008. 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 = 2008

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

253² - 249² = 2008

253² is 64009 and 249² is 62001, therefore the answer to the question "What 2 square numbers subtract to make 2008?" is 64009 and 62001 as illustrated below:

64009 - 62001 = 2008

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 2008. Below we list alternate solutions if available.

253009 - 251001 = 2008

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