What 2 square numbers subtract to make 3204?

What two square numbers subtract to make 3204? In other words, when you subtract one square number from another square number, the answer is 3204. 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 = 3204

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

98² - 80² = 3204

98² is 9604 and 80² is 6400, therefore the answer to the question "What 2 square numbers subtract to make 3204?" is 9604 and 6400 as illustrated below:

9604 - 6400 = 3204

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 3204. Below we list alternate solutions if available.

72900 - 69696 = 3204
643204 - 640000 = 3204

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