What 2 square numbers subtract to make 2217?


What two square numbers subtract to make 2217? In other words, when you subtract one square number from another square number, the answer is 2217. 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 = 2217

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

3712 - 3682 = 2217

3712 is 137641 and 3682 is 135424, therefore the answer to the question "What 2 square numbers subtract to make 2217?" is 137641 and 135424 as illustrated below:

137641 - 135424 = 2217


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 2217. Below we list alternate solutions if available.

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