What 2 square numbers subtract to make 6756?

What two square numbers subtract to make 6756? In other words, when you subtract one square number from another square number, the answer is 6756. 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 = 6756

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

566² - 560² = 6756

566² is 320356 and 560² is 313600, therefore the answer to the question "What 2 square numbers subtract to make 6756?" is 320356 and 313600 as illustrated below:

320356 - 313600 = 6756

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 6756. Below we list alternate solutions if available.

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