What 2 square numbers subtract to make 6700?


What two square numbers subtract to make 6700? In other words, when you subtract one square number from another square number, the answer is 6700. 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 = 6700

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

922 - 422 = 6700

922 is 8464 and 422 is 1764, therefore the answer to the question "What 2 square numbers subtract to make 6700?" is 8464 and 1764 as illustrated below:

8464 - 1764 = 6700


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 6700. Below we list alternate solutions if available.

115600 - 108900 = 6700

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