What 2 square numbers subtract to make 5628?


What two square numbers subtract to make 5628? In other words, when you subtract one square number from another square number, the answer is 5628. 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 = 5628

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

882 - 462 = 5628

882 is 7744 and 462 is 2116, therefore the answer to the question "What 2 square numbers subtract to make 5628?" is 7744 and 2116 as illustrated below:

7744 - 2116 = 5628


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 5628. Below we list alternate solutions if available.

43264 - 37636 = 5628
222784 - 217156 = 5628

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