What 2 square numbers subtract to make 9856?

What two square numbers subtract to make 9856? In other words, when you subtract one square number from another square number, the answer is 9856. 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 = 9856

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

100² - 12² = 9856

100² is 10000 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 9856?" is 10000 and 144 as illustrated below:

10000 - 144 = 9856

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 9856. Below we list alternate solutions if available.

11881 - 2025 = 9856
13456 - 3600 = 9856
17956 - 8100 = 9856

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What 2 square numbers subtract to make 9857?
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