What 2 square numbers subtract to make 3897?

What two square numbers subtract to make 3897? In other words, when you subtract one square number from another square number, the answer is 3897. 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 = 3897

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

221² - 212² = 3897

221² is 48841 and 212² is 44944, therefore the answer to the question "What 2 square numbers subtract to make 3897?" is 48841 and 44944 as illustrated below:

48841 - 44944 = 3897

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 3897. Below we list alternate solutions if available.

423801 - 419904 = 3897

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