What 2 square numbers subtract to make 2792?

What two square numbers subtract to make 2792? In other words, when you subtract one square number from another square number, the answer is 2792. 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 = 2792

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

351² - 347² = 2792

351² is 123201 and 347² is 120409, therefore the answer to the question "What 2 square numbers subtract to make 2792?" is 123201 and 120409 as illustrated below:

123201 - 120409 = 2792

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 2792. Below we list alternate solutions if available.

488601 - 485809 = 2792

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