What 2 square numbers subtract to make 2808?

What two square numbers subtract to make 2808? In other words, when you subtract one square number from another square number, the answer is 2808. 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 = 2808

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

53² - 1² = 2808

53² is 2809 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 2808?" is 2809 and 1 as illustrated below:

2809 - 1 = 2808

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 2808. Below we list alternate solutions if available.

3249 - 441 = 2808
4489 - 1681 = 2808
7569 - 4761 = 2808

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