What 2 square numbers subtract to make 2981?

What two square numbers subtract to make 2981? In other words, when you subtract one square number from another square number, the answer is 2981. 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 = 2981

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

141² - 130² = 2981

141² is 19881 and 130² is 16900, therefore the answer to the question "What 2 square numbers subtract to make 2981?" is 19881 and 16900 as illustrated below:

19881 - 16900 = 2981

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 2981. Below we list alternate solutions if available.

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