What 2 square numbers subtract to make 1997?

What two square numbers subtract to make 1997? In other words, when you subtract one square number from another square number, the answer is 1997. 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 = 1997

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

999² - 998² = 1997

999² is 998001 and 998² is 996004, therefore the answer to the question "What 2 square numbers subtract to make 1997?" is 998001 and 996004 as illustrated below:

998001 - 996004 = 1997

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 1997. Below we list alternate solutions if available.

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