What 2 square numbers subtract to make 5005?

What two square numbers subtract to make 5005? In other words, when you subtract one square number from another square number, the answer is 5005. 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 = 5005

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

71² - 6² = 5005

71² is 5041 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 5005?" is 5041 and 36 as illustrated below:

5041 - 36 = 5005

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 5005. Below we list alternate solutions if available.

5329 - 324 = 5005
7921 - 2916 = 5005
39601 - 34596 = 5005

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