What 2 square numbers subtract to make 636?

What two square numbers subtract to make 636? In other words, when you subtract one square number from another square number, the answer is 636. 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 = 636

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

56² - 50² = 636

56² is 3136 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 636?" is 3136 and 2500 as illustrated below:

3136 - 2500 = 636

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 636. Below we list alternate solutions if available.

25600 - 24964 = 636

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