What 2 square numbers subtract to make 8008?

What two square numbers subtract to make 8008? In other words, when you subtract one square number from another square number, the answer is 8008. 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 = 8008

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

103² - 51² = 8008

103² is 10609 and 51² is 2601, therefore the answer to the question "What 2 square numbers subtract to make 8008?" is 10609 and 2601 as illustrated below:

10609 - 2601 = 8008

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 8008. Below we list alternate solutions if available.

12769 - 4761 = 8008
24649 - 16641 = 8008
27889 - 19881 = 8008

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