What 2 square numbers subtract to make 3972?

What two square numbers subtract to make 3972? In other words, when you subtract one square number from another square number, the answer is 3972. 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 = 3972

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

334² - 328² = 3972

334² is 111556 and 328² is 107584, therefore the answer to the question "What 2 square numbers subtract to make 3972?" is 111556 and 107584 as illustrated below:

111556 - 107584 = 3972

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 3972. Below we list alternate solutions if available.

988036 - 984064 = 3972

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