What 2 square numbers subtract to make 6760?

What two square numbers subtract to make 6760? In other words, when you subtract one square number from another square number, the answer is 6760. 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 = 6760

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

91² - 39² = 6760

91² is 8281 and 39² is 1521, therefore the answer to the question "What 2 square numbers subtract to make 6760?" is 8281 and 1521 as illustrated below:

8281 - 1521 = 6760

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 6760. Below we list alternate solutions if available.

20449 - 13689 = 6760
32041 - 25281 = 6760
117649 - 110889 = 6760

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