What 2 square numbers subtract to make 2864?


What two square numbers subtract to make 2864? In other words, when you subtract one square number from another square number, the answer is 2864. 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 = 2864

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

1832 - 1752 = 2864

1832 is 33489 and 1752 is 30625, therefore the answer to the question "What 2 square numbers subtract to make 2864?" is 33489 and 30625 as illustrated below:

33489 - 30625 = 2864


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 2864. Below we list alternate solutions if available.

129600 - 126736 = 2864
514089 - 511225 = 2864

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