What 2 square numbers subtract to make 9792?

What two square numbers subtract to make 9792? In other words, when you subtract one square number from another square number, the answer is 9792. 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 = 9792

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

99² - 3² = 9792

99² is 9801 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 9792?" is 9801 and 9 as illustrated below:

9801 - 9 = 9792

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 9792. Below we list alternate solutions if available.

10816 - 1024 = 9792
11236 - 1444 = 9792
15876 - 6084 = 9792

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