What 2 square numbers subtract to make 7008?

What two square numbers subtract to make 7008? In other words, when you subtract one square number from another square number, the answer is 7008. 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 = 7008

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

97² - 49² = 7008

97² is 9409 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 7008?" is 9409 and 2401 as illustrated below:

9409 - 2401 = 7008

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 7008. Below we list alternate solutions if available.

24964 - 17956 = 7008
51529 - 44521 = 7008
88804 - 81796 = 7008

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