What 2 square numbers subtract to make 8412?

What two square numbers subtract to make 8412? In other words, when you subtract one square number from another square number, the answer is 8412. 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 = 8412

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

704² - 698² = 8412

704² is 495616 and 698² is 487204, therefore the answer to the question "What 2 square numbers subtract to make 8412?" is 495616 and 487204 as illustrated below:

495616 - 487204 = 8412

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 8412. Below we list alternate solutions if available.

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