What 2 square numbers subtract to make 9823?


What two square numbers subtract to make 9823? In other words, when you subtract one square number from another square number, the answer is 9823. 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 = 9823

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

1282 - 812 = 9823

1282 is 16384 and 812 is 6561, therefore the answer to the question "What 2 square numbers subtract to make 9823?" is 16384 and 6561 as illustrated below:

16384 - 6561 = 9823


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 9823. Below we list alternate solutions if available.

71824 - 62001 = 9823
204304 - 194481 = 9823

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