What 2 square numbers subtract to make 8228?

What two square numbers subtract to make 8228? In other words, when you subtract one square number from another square number, the answer is 8228. 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 = 8228

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

138² - 104² = 8228

138² is 19044 and 104² is 10816, therefore the answer to the question "What 2 square numbers subtract to make 8228?" is 19044 and 10816 as illustrated below:

19044 - 10816 = 8228

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 8228. Below we list alternate solutions if available.

39204 - 30976 = 8228

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