What 2 square numbers subtract to make 3960?

What two square numbers subtract to make 3960? In other words, when you subtract one square number from another square number, the answer is 3960. 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 = 3960

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

63² - 3² = 3960

63² is 3969 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 3960?" is 3969 and 9 as illustrated below:

3969 - 9 = 3960

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 3960. Below we list alternate solutions if available.

4489 - 529 = 3960
5329 - 1369 = 3960
6561 - 2601 = 3960

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What 2 square numbers subtract to make 3961?
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