What 2 square numbers subtract to make 339?

What two square numbers subtract to make 339? In other words, when you subtract one square number from another square number, the answer is 339. 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 = 339

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

58² - 55² = 339

58² is 3364 and 55² is 3025, therefore the answer to the question "What 2 square numbers subtract to make 339?" is 3364 and 3025 as illustrated below:

3364 - 3025 = 339

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 339. Below we list alternate solutions if available.

28900 - 28561 = 339

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