What 2 square numbers subtract to make 7884?

What two square numbers subtract to make 7884? In other words, when you subtract one square number from another square number, the answer is 7884. 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 = 7884

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

100² - 46² = 7884

100² is 10000 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 7884?" is 10000 and 2116 as illustrated below:

10000 - 2116 = 7884

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 7884. Below we list alternate solutions if available.

51984 - 44100 = 7884
435600 - 427716 = 7884

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