What 2 square numbers subtract to make 2272?

What two square numbers subtract to make 2272? In other words, when you subtract one square number from another square number, the answer is 2272. 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 = 2272

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

79² - 63² = 2272

79² is 6241 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 2272?" is 6241 and 3969 as illustrated below:

6241 - 3969 = 2272

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 2272. Below we list alternate solutions if available.

21316 - 19044 = 2272
81796 - 79524 = 2272
323761 - 321489 = 2272

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