What 2 square numbers subtract to make 2872?

What two square numbers subtract to make 2872? In other words, when you subtract one square number from another square number, the answer is 2872. 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 = 2872

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

361² - 357² = 2872

361² is 130321 and 357² is 127449, therefore the answer to the question "What 2 square numbers subtract to make 2872?" is 130321 and 127449 as illustrated below:

130321 - 127449 = 2872

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 2872. Below we list alternate solutions if available.

516961 - 514089 = 2872

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