What 2 square numbers subtract to make 8908?

What two square numbers subtract to make 8908? In other words, when you subtract one square number from another square number, the answer is 8908. 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 = 8908

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

148² - 114² = 8908

148² is 21904 and 114² is 12996, therefore the answer to the question "What 2 square numbers subtract to make 8908?" is 21904 and 12996 as illustrated below:

21904 - 12996 = 8908

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 8908. Below we list alternate solutions if available.

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