What 2 square numbers subtract to make 3996?

What two square numbers subtract to make 3996? In other words, when you subtract one square number from another square number, the answer is 3996. 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 = 3996

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

64² - 10² = 3996

64² is 4096 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 3996?" is 4096 and 100 as illustrated below:

4096 - 100 = 3996

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 3996. Below we list alternate solutions if available.

14400 - 10404 = 3996
112896 - 108900 = 3996
1000000 - 996004 = 3996

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