What 2 square numbers subtract to make 6831?

What two square numbers subtract to make 6831? In other words, when you subtract one square number from another square number, the answer is 6831. 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 = 6831

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

84² - 15² = 6831

84² is 7056 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 6831?" is 7056 and 225 as illustrated below:

7056 - 225 = 6831

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 6831. Below we list alternate solutions if available.

14400 - 7569 = 6831
19600 - 12769 = 6831
25600 - 18769 = 6831

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