What 2 square numbers subtract to make 3385?

What two square numbers subtract to make 3385? In other words, when you subtract one square number from another square number, the answer is 3385. 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 = 3385

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

341² - 336² = 3385

341² is 116281 and 336² is 112896, therefore the answer to the question "What 2 square numbers subtract to make 3385?" is 116281 and 112896 as illustrated below:

116281 - 112896 = 3385

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 3385. Below we list alternate solutions if available.

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