What 2 square numbers subtract to make 508?

What two square numbers subtract to make 508? In other words, when you subtract one square number from another square number, the answer is 508. 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 = 508

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

128² - 126² = 508

128² is 16384 and 126² is 15876, therefore the answer to the question "What 2 square numbers subtract to make 508?" is 16384 and 15876 as illustrated below:

16384 - 15876 = 508

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 508. Below we list alternate solutions if available.

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