What 2 square numbers subtract to make 6616?

What two square numbers subtract to make 6616? In other words, when you subtract one square number from another square number, the answer is 6616. 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 = 6616

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

829² - 825² = 6616

829² is 687241 and 825² is 680625, therefore the answer to the question "What 2 square numbers subtract to make 6616?" is 687241 and 680625 as illustrated below:

687241 - 680625 = 6616

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 6616. Below we list alternate solutions if available.

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