What 2 square numbers subtract to make 9396?

What two square numbers subtract to make 9396? In other words, when you subtract one square number from another square number, the answer is 9396. 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 = 9396

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

110² - 52² = 9396

110² is 12100 and 52² is 2704, therefore the answer to the question "What 2 square numbers subtract to make 9396?" is 12100 and 2704 as illustrated below:

12100 - 2704 = 9396

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 9396. Below we list alternate solutions if available.

12996 - 3600 = 9396
72900 - 63504 = 9396
617796 - 608400 = 9396

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