What 2 square numbers subtract to make 897?


What two square numbers subtract to make 897? In other words, when you subtract one square number from another square number, the answer is 897. 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 = 897

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

312 - 82 = 897

312 is 961 and 82 is 64, therefore the answer to the question "What 2 square numbers subtract to make 897?" is 961 and 64 as illustrated below:

961 - 64 = 897


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 897. Below we list alternate solutions if available.

1681 - 784 = 897
22801 - 21904 = 897
201601 - 200704 = 897

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