What 2 square numbers subtract to make 3916?


What two square numbers subtract to make 3916? In other words, when you subtract one square number from another square number, the answer is 3916. 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 = 3916

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

1002 - 782 = 3916

1002 is 10000 and 782 is 6084, therefore the answer to the question "What 2 square numbers subtract to make 3916?" is 10000 and 6084 as illustrated below:

10000 - 6084 = 3916


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 3916. Below we list alternate solutions if available.

960400 - 956484 = 3916

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