What 2 square numbers subtract to make 6636?


What two square numbers subtract to make 6636? In other words, when you subtract one square number from another square number, the answer is 6636. 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 = 6636

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

1002 - 582 = 6636

1002 is 10000 and 582 is 3364, therefore the answer to the question "What 2 square numbers subtract to make 6636?" is 10000 and 3364 as illustrated below:

10000 - 3364 = 6636


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 6636. Below we list alternate solutions if available.

59536 - 52900 = 6636
309136 - 302500 = 6636

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