What 2 square numbers subtract to make 815?

What two square numbers subtract to make 815? In other words, when you subtract one square number from another square number, the answer is 815. 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 = 815

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

84² - 79² = 815

84² is 7056 and 79² is 6241, therefore the answer to the question "What 2 square numbers subtract to make 815?" is 7056 and 6241 as illustrated below:

7056 - 6241 = 815

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 815. Below we list alternate solutions if available.

166464 - 165649 = 815

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