What 2 square numbers subtract to make 7428?

What two square numbers subtract to make 7428? In other words, when you subtract one square number from another square number, the answer is 7428. 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 = 7428

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

622² - 616² = 7428

622² is 386884 and 616² is 379456, therefore the answer to the question "What 2 square numbers subtract to make 7428?" is 386884 and 379456 as illustrated below:

386884 - 379456 = 7428

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 7428. Below we list alternate solutions if available.

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