What 2 square numbers subtract to make 2284?

What two square numbers subtract to make 2284? In other words, when you subtract one square number from another square number, the answer is 2284. 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 = 2284

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

572² - 570² = 2284

572² is 327184 and 570² is 324900, therefore the answer to the question "What 2 square numbers subtract to make 2284?" is 327184 and 324900 as illustrated below:

327184 - 324900 = 2284

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 2284. Below we list alternate solutions if available.

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