What 2 square numbers subtract to make 3880?

What two square numbers subtract to make 3880? In other words, when you subtract one square number from another square number, the answer is 3880. 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 = 3880

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

107² - 87² = 3880

107² is 11449 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 3880?" is 11449 and 7569 as illustrated below:

11449 - 7569 = 3880

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 3880. Below we list alternate solutions if available.

39601 - 35721 = 3880
237169 - 233289 = 3880
942841 - 938961 = 3880

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