What 2 square numbers subtract to make 2856?

What two square numbers subtract to make 2856? In other words, when you subtract one square number from another square number, the answer is 2856. 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 = 2856

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

55² - 13² = 2856

55² is 3025 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 2856?" is 3025 and 169 as illustrated below:

3025 - 169 = 2856

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 2856. Below we list alternate solutions if available.

3481 - 625 = 2856
4225 - 1369 = 2856
11881 - 9025 = 2856

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