What 2 square numbers subtract to make 2497?


What two square numbers subtract to make 2497? In other words, when you subtract one square number from another square number, the answer is 2497. 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 = 2497

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

1192 - 1082 = 2497

1192 is 14161 and 1082 is 11664, therefore the answer to the question "What 2 square numbers subtract to make 2497?" is 14161 and 11664 as illustrated below:

14161 - 11664 = 2497


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 2497. Below we list alternate solutions if available.

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