What 2 square numbers subtract to make 9585?

What two square numbers subtract to make 9585? In other words, when you subtract one square number from another square number, the answer is 9585. 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 = 9585

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

103² - 32² = 9585

103² is 10609 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 9585?" is 10609 and 1024 as illustrated below:

10609 - 1024 = 9585

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 9585. Below we list alternate solutions if available.

16641 - 7056 = 9585
36481 - 26896 = 9585
106929 - 97344 = 9585

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What 2 square numbers subtract to make 9586?
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