What 2 square numbers subtract to make 6604?


What two square numbers subtract to make 6604? In other words, when you subtract one square number from another square number, the answer is 6604. 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 = 6604

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

1402 - 1142 = 6604

1402 is 19600 and 1142 is 12996, therefore the answer to the question "What 2 square numbers subtract to make 6604?" is 19600 and 12996 as illustrated below:

19600 - 12996 = 6604


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 6604. Below we list alternate solutions if available.

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