What 2 square numbers subtract to make 6680?

What two square numbers subtract to make 6680? In other words, when you subtract one square number from another square number, the answer is 6680. 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 = 6680

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

177² - 157² = 6680

177² is 31329 and 157² is 24649, therefore the answer to the question "What 2 square numbers subtract to make 6680?" is 31329 and 24649 as illustrated below:

31329 - 24649 = 6680

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 6680. Below we list alternate solutions if available.

114921 - 108241 = 6680
700569 - 693889 = 6680

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