What 2 square numbers subtract to make 5992?

What two square numbers subtract to make 5992? In other words, when you subtract one square number from another square number, the answer is 5992. 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 = 5992

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

121² - 93² = 5992

121² is 14641 and 93² is 8649, therefore the answer to the question "What 2 square numbers subtract to make 5992?" is 14641 and 8649 as illustrated below:

14641 - 8649 = 5992

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 5992. Below we list alternate solutions if available.

48841 - 42849 = 5992
564001 - 558009 = 5992

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