What 2 square numbers subtract to make 9988?

What two square numbers subtract to make 9988? In other words, when you subtract one square number from another square number, the answer is 9988. 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 = 9988

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

238² - 216² = 9988

238² is 56644 and 216² is 46656, therefore the answer to the question "What 2 square numbers subtract to make 9988?" is 56644 and 46656 as illustrated below:

56644 - 46656 = 9988

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 9988. Below we list alternate solutions if available.

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