What 2 square numbers subtract to make 3568?

What two square numbers subtract to make 3568? In other words, when you subtract one square number from another square number, the answer is 3568. 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 = 3568

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

227² - 219² = 3568

227² is 51529 and 219² is 47961, therefore the answer to the question "What 2 square numbers subtract to make 3568?" is 51529 and 47961 as illustrated below:

51529 - 47961 = 3568

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 3568. Below we list alternate solutions if available.

200704 - 197136 = 3568
797449 - 793881 = 3568

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