What 2 square numbers subtract to make 2568?

What two square numbers subtract to make 2568? In other words, when you subtract one square number from another square number, the answer is 2568. 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 = 2568

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

113² - 101² = 2568

113² is 12769 and 101² is 10201, therefore the answer to the question "What 2 square numbers subtract to make 2568?" is 12769 and 10201 as illustrated below:

12769 - 10201 = 2568

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 2568. Below we list alternate solutions if available.

47089 - 44521 = 2568
104329 - 101761 = 2568
413449 - 410881 = 2568

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