What 2 square numbers subtract to make 3585?

What two square numbers subtract to make 3585? In other words, when you subtract one square number from another square number, the answer is 3585. 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 = 3585

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

127² - 112² = 3585

127² is 16129 and 112² is 12544, therefore the answer to the question "What 2 square numbers subtract to make 3585?" is 16129 and 12544 as illustrated below:

16129 - 12544 = 3585

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 3585. Below we list alternate solutions if available.

130321 - 126736 = 3585
358801 - 355216 = 3585

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