What 2 square numbers subtract to make 7117?

What two square numbers subtract to make 7117? In other words, when you subtract one square number from another square number, the answer is 7117. 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 = 7117

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

329² - 318² = 7117

329² is 108241 and 318² is 101124, therefore the answer to the question "What 2 square numbers subtract to make 7117?" is 108241 and 101124 as illustrated below:

108241 - 101124 = 7117

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 7117. Below we list alternate solutions if available.

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