What 2 square numbers subtract to make 8988?

What two square numbers subtract to make 8988? In other words, when you subtract one square number from another square number, the answer is 8988. 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 = 8988

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

128² - 86² = 8988

128² is 16384 and 86² is 7396, therefore the answer to the question "What 2 square numbers subtract to make 8988?" is 16384 and 7396 as illustrated below:

16384 - 7396 = 8988

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 8988. Below we list alternate solutions if available.

107584 - 98596 = 8988
565504 - 556516 = 8988

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