What 2 square numbers subtract to make 9312?


What two square numbers subtract to make 9312? In other words, when you subtract one square number from another square number, the answer is 9312. 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 = 9312

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

1212 - 732 = 9312

1212 is 14641 and 732 is 5329, therefore the answer to the question "What 2 square numbers subtract to make 9312?" is 14641 and 5329 as illustrated below:

14641 - 5329 = 9312


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 9312. Below we list alternate solutions if available.

42436 - 33124 = 9312
89401 - 80089 = 9312
155236 - 145924 = 9312

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