What 2 square numbers subtract to make 1683?

What two square numbers subtract to make 1683? In other words, when you subtract one square number from another square number, the answer is 1683. 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 = 1683

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

42² - 9² = 1683

42² is 1764 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 1683?" is 1764 and 81 as illustrated below:

1764 - 81 = 1683

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 1683. Below we list alternate solutions if available.

3364 - 1681 = 1683
6724 - 5041 = 1683
9604 - 7921 = 1683

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