What 2 square numbers subtract to make 7791?

What two square numbers subtract to make 7791? In other words, when you subtract one square number from another square number, the answer is 7791. 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 = 7791

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

100² - 47² = 7791

100² is 10000 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 7791?" is 10000 and 2209 as illustrated below:

10000 - 2209 = 7791

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 7791. Below we list alternate solutions if available.

10816 - 3025 = 7791
38416 - 30625 = 7791
313600 - 305809 = 7791

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