What 2 square numbers subtract to make 8991?

What two square numbers subtract to make 8991? In other words, when you subtract one square number from another square number, the answer is 8991. 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 = 8991

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

96² - 15² = 8991

96² is 9216 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 8991?" is 9216 and 225 as illustrated below:

9216 - 225 = 8991

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 8991. Below we list alternate solutions if available.

19600 - 10609 = 8991
32400 - 23409 = 8991
254016 - 245025 = 8991

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