What 2 square numbers subtract to make 3660?

What two square numbers subtract to make 3660? In other words, when you subtract one square number from another square number, the answer is 3660. 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 = 3660

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

76² - 46² = 3660

76² is 5776 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 3660?" is 5776 and 2116 as illustrated below:

5776 - 2116 = 3660

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 3660. Below we list alternate solutions if available.

35344 - 31684 = 3660
94864 - 91204 = 3660
839056 - 835396 = 3660

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