What 2 square numbers subtract to make 3993?

What two square numbers subtract to make 3993? In other words, when you subtract one square number from another square number, the answer is 3993. 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 = 3993

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

77² - 44² = 3993

77² is 5929 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 3993?" is 5929 and 1936 as illustrated below:

5929 - 1936 = 3993

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 3993. Below we list alternate solutions if available.

34969 - 30976 = 3993
444889 - 440896 = 3993

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