What 2 square numbers subtract to make 2116?


What two square numbers subtract to make 2116? In other words, when you subtract one square number from another square number, the answer is 2116. 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 = 2116

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

5302 - 5282 = 2116

5302 is 280900 and 5282 is 278784, therefore the answer to the question "What 2 square numbers subtract to make 2116?" is 280900 and 278784 as illustrated below:

280900 - 278784 = 2116


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 2116. Below we list alternate solutions if available.

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