What 2 square numbers subtract to make 6328?

What two square numbers subtract to make 6328? In other words, when you subtract one square number from another square number, the answer is 6328. 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 = 6328

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

127² - 99² = 6328

127² is 16129 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 6328?" is 16129 and 9801 as illustrated below:

16129 - 9801 = 6328

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 6328. Below we list alternate solutions if available.

54289 - 47961 = 6328
628849 - 622521 = 6328

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