What 2 square numbers subtract to make 6755?

What two square numbers subtract to make 6755? In other words, when you subtract one square number from another square number, the answer is 6755. 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 = 6755

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

114² - 79² = 6755

114² is 12996 and 79² is 6241, therefore the answer to the question "What 2 square numbers subtract to make 6755?" is 12996 and 6241 as illustrated below:

12996 - 6241 = 6755

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 6755. Below we list alternate solutions if available.

236196 - 229441 = 6755
459684 - 452929 = 6755

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