What 2 square numbers subtract to make 5528?

What two square numbers subtract to make 5528? In other words, when you subtract one square number from another square number, the answer is 5528. 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 = 5528

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

693² - 689² = 5528

693² is 480249 and 689² is 474721, therefore the answer to the question "What 2 square numbers subtract to make 5528?" is 480249 and 474721 as illustrated below:

480249 - 474721 = 5528

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 5528. Below we list alternate solutions if available.

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