What 2 square numbers subtract to make 992?

What two square numbers subtract to make 992? In other words, when you subtract one square number from another square number, the answer is 992. 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 = 992

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

39² - 23² = 992

39² is 1521 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 992?" is 1521 and 529 as illustrated below:

1521 - 529 = 992

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 992. Below we list alternate solutions if available.

4356 - 3364 = 992
15876 - 14884 = 992
62001 - 61009 = 992

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