What 2 square numbers subtract to make 9360?

What two square numbers subtract to make 9360? In other words, when you subtract one square number from another square number, the answer is 9360. 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 = 9360

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

97² - 7² = 9360

97² is 9409 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 9360?" is 9409 and 49 as illustrated below:

9409 - 49 = 9360

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 9360. Below we list alternate solutions if available.

9801 - 441 = 9360
10201 - 841 = 9360
11664 - 2304 = 9360

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