What 2 square numbers subtract to make 2065?

What two square numbers subtract to make 2065? In other words, when you subtract one square number from another square number, the answer is 2065. 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 = 2065

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

47² - 12² = 2065

47² is 2209 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 2065?" is 2209 and 144 as illustrated below:

2209 - 144 = 2065

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 2065. Below we list alternate solutions if available.

22801 - 20736 = 2065
43681 - 41616 = 2065

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