What 2 square numbers subtract to make 3615?

What two square numbers subtract to make 3615? In other words, when you subtract one square number from another square number, the answer is 3615. 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 = 3615

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

128² - 113² = 3615

128² is 16384 and 113² is 12769, therefore the answer to the question "What 2 square numbers subtract to make 3615?" is 16384 and 12769 as illustrated below:

16384 - 12769 = 3615

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 3615. Below we list alternate solutions if available.

132496 - 128881 = 3615
364816 - 361201 = 3615

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