What 2 square numbers subtract to make 3856?

What two square numbers subtract to make 3856? In other words, when you subtract one square number from another square number, the answer is 3856. 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 = 3856

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

245² - 237² = 3856

245² is 60025 and 237² is 56169, therefore the answer to the question "What 2 square numbers subtract to make 3856?" is 60025 and 56169 as illustrated below:

60025 - 56169 = 3856

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 3856. Below we list alternate solutions if available.

234256 - 230400 = 3856
931225 - 927369 = 3856

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