What 2 square numbers subtract to make 3872?

What two square numbers subtract to make 3872? In other words, when you subtract one square number from another square number, the answer is 3872. 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 = 3872

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

66² - 22² = 3872

66² is 4356 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 3872?" is 4356 and 484 as illustrated below:

4356 - 484 = 3872

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 3872. Below we list alternate solutions if available.

9801 - 5929 = 3872
16641 - 12769 = 3872
60516 - 56644 = 3872

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