What 2 square numbers subtract to make 1215?

What two square numbers subtract to make 1215? In other words, when you subtract one square number from another square number, the answer is 1215. 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 = 1215

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

36² - 9² = 1215

36² is 1296 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 1215?" is 1296 and 81 as illustrated below:

1296 - 81 = 1215

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 1215. Below we list alternate solutions if available.

2304 - 1089 = 1215
5184 - 3969 = 1215
15376 - 14161 = 1215

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