What 2 square numbers subtract to make 3205?

What two square numbers subtract to make 3205? In other words, when you subtract one square number from another square number, the answer is 3205. 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 = 3205

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

323² - 318² = 3205

323² is 104329 and 318² is 101124, therefore the answer to the question "What 2 square numbers subtract to make 3205?" is 104329 and 101124 as illustrated below:

104329 - 101124 = 3205

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 3205. Below we list alternate solutions if available.

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