What 2 square numbers subtract to make 2228?

What two square numbers subtract to make 2228? In other words, when you subtract one square number from another square number, the answer is 2228. 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 = 2228

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

558² - 556² = 2228

558² is 311364 and 556² is 309136, therefore the answer to the question "What 2 square numbers subtract to make 2228?" is 311364 and 309136 as illustrated below:

311364 - 309136 = 2228

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 2228. Below we list alternate solutions if available.

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