What 2 square numbers subtract to make 5028?

What two square numbers subtract to make 5028? In other words, when you subtract one square number from another square number, the answer is 5028. 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 = 5028

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

422² - 416² = 5028

422² is 178084 and 416² is 173056, therefore the answer to the question "What 2 square numbers subtract to make 5028?" is 178084 and 173056 as illustrated below:

178084 - 173056 = 5028

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 5028. Below we list alternate solutions if available.

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