What 2 square numbers subtract to make 3681?

What two square numbers subtract to make 3681? In other words, when you subtract one square number from another square number, the answer is 3681. 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 = 3681

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

209² - 200² = 3681

209² is 43681 and 200² is 40000, therefore the answer to the question "What 2 square numbers subtract to make 3681?" is 43681 and 40000 as illustrated below:

43681 - 40000 = 3681

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 3681. Below we list alternate solutions if available.

378225 - 374544 = 3681

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