What 2 square numbers subtract to make 2667?


What two square numbers subtract to make 2667? In other words, when you subtract one square number from another square number, the answer is 2667. 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 = 2667

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

742 - 532 = 2667

742 is 5476 and 532 is 2809, therefore the answer to the question "What 2 square numbers subtract to make 2667?" is 5476 and 2809 as illustrated below:

5476 - 2809 = 2667


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 2667. Below we list alternate solutions if available.

37636 - 34969 = 2667
198916 - 196249 = 2667

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