What 2 square numbers subtract to make 9648?

What two square numbers subtract to make 9648? In other words, when you subtract one square number from another square number, the answer is 9648. 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 = 9648

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

103² - 31² = 9648

103² is 10609 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 9648?" is 10609 and 961 as illustrated below:

10609 - 961 = 9648

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 9648. Below we list alternate solutions if available.

23104 - 13456 = 9648
45369 - 35721 = 9648
76729 - 67081 = 9648

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