What 2 square numbers subtract to make 3696?

What two square numbers subtract to make 3696? In other words, when you subtract one square number from another square number, the answer is 3696. 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 = 3696

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

61² - 5² = 3696

61² is 3721 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 3696?" is 3721 and 25 as illustrated below:

3721 - 25 = 3696

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 3696. Below we list alternate solutions if available.

4096 - 400 = 3696
4225 - 529 = 3696
6400 - 2704 = 3696

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