What 2 square numbers subtract to make 6984?

What two square numbers subtract to make 6984? In other words, when you subtract one square number from another square number, the answer is 6984. 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 = 6984

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

115² - 79² = 6984

115² is 13225 and 79² is 6241, therefore the answer to the question "What 2 square numbers subtract to make 6984?" is 13225 and 6241 as illustrated below:

13225 - 6241 = 6984

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 6984. Below we list alternate solutions if available.

41209 - 34225 = 6984
88209 - 81225 = 6984
342225 - 335241 = 6984

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