What 2 square numbers subtract to make 7984?

What two square numbers subtract to make 7984? In other words, when you subtract one square number from another square number, the answer is 7984. 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 = 7984

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

503² - 495² = 7984

503² is 253009 and 495² is 245025, therefore the answer to the question "What 2 square numbers subtract to make 7984?" is 253009 and 245025 as illustrated below:

253009 - 245025 = 7984

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 7984. Below we list alternate solutions if available.

1000000 - 992016 = 7984

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