What 2 square numbers subtract to make 6872?

What two square numbers subtract to make 6872? In other words, when you subtract one square number from another square number, the answer is 6872. 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 = 6872

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

861² - 857² = 6872

861² is 741321 and 857² is 734449, therefore the answer to the question "What 2 square numbers subtract to make 6872?" is 741321 and 734449 as illustrated below:

741321 - 734449 = 6872

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 6872. Below we list alternate solutions if available.

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