What 2 square numbers subtract to make 984?

What two square numbers subtract to make 984? In other words, when you subtract one square number from another square number, the answer is 984. 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 = 984

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

47² - 35² = 984

47² is 2209 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 984?" is 2209 and 1225 as illustrated below:

2209 - 1225 = 984

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 984. Below we list alternate solutions if available.

7225 - 6241 = 984
15625 - 14641 = 984
61009 - 60025 = 984

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