What 2 square numbers subtract to make 1680?

What two square numbers subtract to make 1680? In other words, when you subtract one square number from another square number, the answer is 1680. 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 = 1680

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

41² - 1² = 1680

41² is 1681 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1680?" is 1681 and 1 as illustrated below:

1681 - 1 = 1680

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 1680. Below we list alternate solutions if available.

1849 - 169 = 1680
1936 - 256 = 1680
2209 - 529 = 1680

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What 2 square numbers subtract to make 1681?
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