What 2 square numbers subtract to make 4908?

What two square numbers subtract to make 4908? In other words, when you subtract one square number from another square number, the answer is 4908. 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 = 4908

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

412² - 406² = 4908

412² is 169744 and 406² is 164836, therefore the answer to the question "What 2 square numbers subtract to make 4908?" is 169744 and 164836 as illustrated below:

169744 - 164836 = 4908

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 4908. Below we list alternate solutions if available.

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