What 2 square numbers subtract to make 3412?

What two square numbers subtract to make 3412? In other words, when you subtract one square number from another square number, the answer is 3412. 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 = 3412

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

854² - 852² = 3412

854² is 729316 and 852² is 725904, therefore the answer to the question "What 2 square numbers subtract to make 3412?" is 729316 and 725904 as illustrated below:

729316 - 725904 = 3412

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 3412. Below we list alternate solutions if available.

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