What 2 square numbers subtract to make 8568?

What two square numbers subtract to make 8568? In other words, when you subtract one square number from another square number, the answer is 8568. 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 = 8568

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

93² - 9² = 8568

93² is 8649 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 8568?" is 8649 and 81 as illustrated below:

8649 - 81 = 8568

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 8568. Below we list alternate solutions if available.

9409 - 841 = 8568
15129 - 6561 = 8568
18769 - 10201 = 8568

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