What 2 square numbers subtract to make 3891?

What two square numbers subtract to make 3891? In other words, when you subtract one square number from another square number, the answer is 3891. 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 = 3891

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

650² - 647² = 3891

650² is 422500 and 647² is 418609, therefore the answer to the question "What 2 square numbers subtract to make 3891?" is 422500 and 418609 as illustrated below:

422500 - 418609 = 3891

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 3891. Below we list alternate solutions if available.

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