What 2 square numbers subtract to make 8048?

What two square numbers subtract to make 8048? In other words, when you subtract one square number from another square number, the answer is 8048. 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 = 8048

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

507² - 499² = 8048

507² is 257049 and 499² is 249001, therefore the answer to the question "What 2 square numbers subtract to make 8048?" is 257049 and 249001 as illustrated below:

257049 - 249001 = 8048

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 8048. Below we list alternate solutions if available.

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