What 2 square numbers subtract to make 3908?

What two square numbers subtract to make 3908? In other words, when you subtract one square number from another square number, the answer is 3908. 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 = 3908

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

978² - 976² = 3908

978² is 956484 and 976² is 952576, therefore the answer to the question "What 2 square numbers subtract to make 3908?" is 956484 and 952576 as illustrated below:

956484 - 952576 = 3908

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 3908. Below we list alternate solutions if available.

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