What 2 square numbers subtract to make 9164?

What two square numbers subtract to make 9164? In other words, when you subtract one square number from another square number, the answer is 9164. 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 = 9164

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

108² - 50² = 9164

108² is 11664 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 9164?" is 11664 and 2500 as illustrated below:

11664 - 2500 = 9164

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 9164. Below we list alternate solutions if available.

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