What 2 square numbers subtract to make 8428?

What two square numbers subtract to make 8428? In other words, when you subtract one square number from another square number, the answer is 8428. 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 = 8428

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

92² - 6² = 8428

92² is 8464 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 8428?" is 8464 and 36 as illustrated below:

8464 - 36 = 8428

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 8428. Below we list alternate solutions if available.

94864 - 86436 = 8428

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