What 2 square numbers subtract to make 1315?


What two square numbers subtract to make 1315? In other words, when you subtract one square number from another square number, the answer is 1315. 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 = 1315

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

1342 - 1292 = 1315

1342 is 17956 and 1292 is 16641, therefore the answer to the question "What 2 square numbers subtract to make 1315?" is 17956 and 16641 as illustrated below:

17956 - 16641 = 1315


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 1315. Below we list alternate solutions if available.

432964 - 431649 = 1315

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