What 2 square numbers subtract to make 6327?

What two square numbers subtract to make 6327? In other words, when you subtract one square number from another square number, the answer is 6327. 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 = 6327

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

84² - 27² = 6327

84² is 7056 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 6327?" is 7056 and 729 as illustrated below:

7056 - 729 = 6327

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 6327. Below we list alternate solutions if available.

10816 - 4489 = 6327
30976 - 24649 = 6327
126736 - 120409 = 6327

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What 2 square numbers subtract to make 6328?
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