What 2 square numbers subtract to make 687?

What two square numbers subtract to make 687? In other words, when you subtract one square number from another square number, the answer is 687. 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 = 687

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

116² - 113² = 687

116² is 13456 and 113² is 12769, therefore the answer to the question "What 2 square numbers subtract to make 687?" is 13456 and 12769 as illustrated below:

13456 - 12769 = 687

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 687. Below we list alternate solutions if available.

118336 - 117649 = 687

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