What 2 square numbers subtract to make 4083?

What two square numbers subtract to make 4083? In other words, when you subtract one square number from another square number, the answer is 4083. 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 = 4083

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

682² - 679² = 4083

682² is 465124 and 679² is 461041, therefore the answer to the question "What 2 square numbers subtract to make 4083?" is 465124 and 461041 as illustrated below:

465124 - 461041 = 4083

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 4083. Below we list alternate solutions if available.

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