What 2 square numbers subtract to make 3680?

What two square numbers subtract to make 3680? In other words, when you subtract one square number from another square number, the answer is 3680. 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 = 3680

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

63² - 17² = 3680

63² is 3969 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 3680?" is 3969 and 289 as illustrated below:

3969 - 289 = 3680

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 3680. Below we list alternate solutions if available.

4356 - 676 = 3680
10404 - 6724 = 3680
15129 - 11449 = 3680

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