What 2 square numbers subtract to make 7871?

What two square numbers subtract to make 7871? In other words, when you subtract one square number from another square number, the answer is 7871. 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 = 7871

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

240² - 223² = 7871

240² is 57600 and 223² is 49729, therefore the answer to the question "What 2 square numbers subtract to make 7871?" is 57600 and 49729 as illustrated below:

57600 - 49729 = 7871

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 7871. Below we list alternate solutions if available.

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