What 2 square numbers subtract to make 993?

What two square numbers subtract to make 993? In other words, when you subtract one square number from another square number, the answer is 993. 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 = 993

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

167² - 164² = 993

167² is 27889 and 164² is 26896, therefore the answer to the question "What 2 square numbers subtract to make 993?" is 27889 and 26896 as illustrated below:

27889 - 26896 = 993

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 993. Below we list alternate solutions if available.

247009 - 246016 = 993

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