What 2 square numbers subtract to make 6687?

What two square numbers subtract to make 6687? In other words, when you subtract one square number from another square number, the answer is 6687. 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 = 6687

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

376² - 367² = 6687

376² is 141376 and 367² is 134689, therefore the answer to the question "What 2 square numbers subtract to make 6687?" is 141376 and 134689 as illustrated below:

141376 - 134689 = 6687

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 6687. Below we list alternate solutions if available.

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