What 2 square numbers subtract to make 3333?

What two square numbers subtract to make 3333? In other words, when you subtract one square number from another square number, the answer is 3333. 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 = 3333

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

67² - 34² = 3333

67² is 4489 and 34² is 1156, therefore the answer to the question "What 2 square numbers subtract to make 3333?" is 4489 and 1156 as illustrated below:

4489 - 1156 = 3333

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 3333. Below we list alternate solutions if available.

24649 - 21316 = 3333
310249 - 306916 = 3333

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