What 2 square numbers subtract to make 6643?

What two square numbers subtract to make 6643? In other words, when you subtract one square number from another square number, the answer is 6643. 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 = 6643

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

82² - 9² = 6643

82² is 6724 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 6643?" is 6724 and 81 as illustrated below:

6724 - 81 = 6643

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 6643. Below we list alternate solutions if available.

68644 - 62001 = 6643
228484 - 221841 = 6643

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