What 2 square numbers subtract to make 680?

What two square numbers subtract to make 680? In other words, when you subtract one square number from another square number, the answer is 680. 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 = 680

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

27² - 7² = 680

27² is 729 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 680?" is 729 and 49 as illustrated below:

729 - 49 = 680

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 680. Below we list alternate solutions if available.

1521 - 841 = 680
7569 - 6889 = 680
29241 - 28561 = 680

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