What 2 square numbers subtract to make 3988?

What two square numbers subtract to make 3988? In other words, when you subtract one square number from another square number, the answer is 3988. 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 = 3988

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

998² - 996² = 3988

998² is 996004 and 996² is 992016, therefore the answer to the question "What 2 square numbers subtract to make 3988?" is 996004 and 992016 as illustrated below:

996004 - 992016 = 3988

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 3988. Below we list alternate solutions if available.

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