What 2 square numbers subtract to make 6648?

What two square numbers subtract to make 6648? In other words, when you subtract one square number from another square number, the answer is 6648. 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 = 6648

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

283² - 271² = 6648

283² is 80089 and 271² is 73441, therefore the answer to the question "What 2 square numbers subtract to make 6648?" is 80089 and 73441 as illustrated below:

80089 - 73441 = 6648

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 6648. Below we list alternate solutions if available.

310249 - 303601 = 6648
693889 - 687241 = 6648

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