What 2 square numbers subtract to make 1428?

What two square numbers subtract to make 1428? In other words, when you subtract one square number from another square number, the answer is 1428. 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 = 1428

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

38² - 4² = 1428

38² is 1444 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 1428?" is 1444 and 16 as illustrated below:

1444 - 16 = 1428

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 1428. Below we list alternate solutions if available.

3364 - 1936 = 1428
14884 - 13456 = 1428
128164 - 126736 = 1428

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