What 2 square numbers subtract to make 428?

What two square numbers subtract to make 428? In other words, when you subtract one square number from another square number, the answer is 428. 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 = 428

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

108² - 106² = 428

108² is 11664 and 106² is 11236, therefore the answer to the question "What 2 square numbers subtract to make 428?" is 11664 and 11236 as illustrated below:

11664 - 11236 = 428

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 428. Below we list alternate solutions if available.

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