What 2 square numbers subtract to make 3981?

What two square numbers subtract to make 3981? In other words, when you subtract one square number from another square number, the answer is 3981. 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 = 3981

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

665² - 662² = 3981

665² is 442225 and 662² is 438244, therefore the answer to the question "What 2 square numbers subtract to make 3981?" is 442225 and 438244 as illustrated below:

442225 - 438244 = 3981

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 3981. Below we list alternate solutions if available.

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