What 2 square numbers subtract to make 9480?

What two square numbers subtract to make 9480? In other words, when you subtract one square number from another square number, the answer is 9480. 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 = 9480

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

109² - 49² = 9480

109² is 11881 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 9480?" is 11881 and 2401 as illustrated below:

11881 - 2401 = 9480

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 9480. Below we list alternate solutions if available.

29929 - 20449 = 9480
61009 - 51529 = 9480
160801 - 151321 = 9480

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