What 2 square numbers subtract to make 8965?

What two square numbers subtract to make 8965? In other words, when you subtract one square number from another square number, the answer is 8965. 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 = 8965

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

109² - 54² = 8965

109² is 11881 and 54² is 2916, therefore the answer to the question "What 2 square numbers subtract to make 8965?" is 11881 and 2916 as illustrated below:

11881 - 2916 = 8965

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 8965. Below we list alternate solutions if available.

170569 - 161604 = 8965
808201 - 799236 = 8965

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