What 2 square numbers subtract to make 3980?

What two square numbers subtract to make 3980? In other words, when you subtract one square number from another square number, the answer is 3980. 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 = 3980

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

204² - 194² = 3980

204² is 41616 and 194² is 37636, therefore the answer to the question "What 2 square numbers subtract to make 3980?" is 41616 and 37636 as illustrated below:

41616 - 37636 = 3980

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 3980. Below we list alternate solutions if available.

992016 - 988036 = 3980

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