What 2 square numbers subtract to make 216?


What two square numbers subtract to make 216? In other words, when you subtract one square number from another square number, the answer is 216. 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 = 216

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

152 - 32 = 216

152 is 225 and 32 is 9, therefore the answer to the question "What 2 square numbers subtract to make 216?" is 225 and 9 as illustrated below:

225 - 9 = 216


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 216. Below we list alternate solutions if available.

441 - 225 = 216
841 - 625 = 216
3025 - 2809 = 216

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