What 2 square numbers subtract to make 6008?

What two square numbers subtract to make 6008? In other words, when you subtract one square number from another square number, the answer is 6008. 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 = 6008

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

753² - 749² = 6008

753² is 567009 and 749² is 561001, therefore the answer to the question "What 2 square numbers subtract to make 6008?" is 567009 and 561001 as illustrated below:

567009 - 561001 = 6008

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 6008. Below we list alternate solutions if available.

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