What 2 square numbers subtract to make 8815?

What two square numbers subtract to make 8815? In other words, when you subtract one square number from another square number, the answer is 8815. 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 = 8815

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

124² - 81² = 8815

124² is 15376 and 81² is 6561, therefore the answer to the question "What 2 square numbers subtract to make 8815?" is 15376 and 6561 as illustrated below:

15376 - 6561 = 8815

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 8815. Below we list alternate solutions if available.

16384 - 7569 = 8815
781456 - 772641 = 8815

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