What 2 square numbers subtract to make 6981?

What two square numbers subtract to make 6981? In other words, when you subtract one square number from another square number, the answer is 6981. 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 = 6981

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

109² - 70² = 6981

109² is 11881 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 6981?" is 11881 and 4900 as illustrated below:

11881 - 4900 = 6981

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 6981. Below we list alternate solutions if available.

75625 - 68644 = 6981

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