What 2 square numbers subtract to make 3309?

What two square numbers subtract to make 3309? In other words, when you subtract one square number from another square number, the answer is 3309. 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 = 3309

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

553² - 550² = 3309

553² is 305809 and 550² is 302500, therefore the answer to the question "What 2 square numbers subtract to make 3309?" is 305809 and 302500 as illustrated below:

305809 - 302500 = 3309

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 3309. Below we list alternate solutions if available.

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