What 2 square numbers subtract to make 2472?


What two square numbers subtract to make 2472? In other words, when you subtract one square number from another square number, the answer is 2472. 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 = 2472

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

1092 - 972 = 2472

1092 is 11881 and 972 is 9409, therefore the answer to the question "What 2 square numbers subtract to make 2472?" is 11881 and 9409 as illustrated below:

11881 - 9409 = 2472


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 2472. Below we list alternate solutions if available.

43681 - 41209 = 2472
96721 - 94249 = 2472
383161 - 380689 = 2472

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