What 2 square numbers subtract to make 2796?

What two square numbers subtract to make 2796? In other words, when you subtract one square number from another square number, the answer is 2796. 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 = 2796

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

236² - 230² = 2796

236² is 55696 and 230² is 52900, therefore the answer to the question "What 2 square numbers subtract to make 2796?" is 55696 and 52900 as illustrated below:

55696 - 52900 = 2796

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 2796. Below we list alternate solutions if available.

490000 - 487204 = 2796

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