What 2 square numbers subtract to make 3636?

What two square numbers subtract to make 3636? In other words, when you subtract one square number from another square number, the answer is 3636. 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 = 3636

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

110² - 92² = 3636

110² is 12100 and 92² is 8464, therefore the answer to the question "What 2 square numbers subtract to make 3636?" is 12100 and 8464 as illustrated below:

12100 - 8464 = 3636

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 3636. Below we list alternate solutions if available.

93636 - 90000 = 3636
828100 - 824464 = 3636

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