What 2 square numbers subtract to make 2624?


What two square numbers subtract to make 2624? In other words, when you subtract one square number from another square number, the answer is 2624. 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 = 2624

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

572 - 252 = 2624

572 is 3249 and 252 is 625, therefore the answer to the question "What 2 square numbers subtract to make 2624?" is 3249 and 625 as illustrated below:

3249 - 625 = 2624


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 2624. Below we list alternate solutions if available.

8100 - 5476 = 2624
28224 - 25600 = 2624
108900 - 106276 = 2624

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