What 2 square numbers subtract to make 5008?


What two square numbers subtract to make 5008? In other words, when you subtract one square number from another square number, the answer is 5008. 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 = 5008

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

3172 - 3092 = 5008

3172 is 100489 and 3092 is 95481, therefore the answer to the question "What 2 square numbers subtract to make 5008?" is 100489 and 95481 as illustrated below:

100489 - 95481 = 5008


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 5008. Below we list alternate solutions if available.

394384 - 389376 = 5008

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