What 2 square numbers subtract to make 6845?

What two square numbers subtract to make 6845? In other words, when you subtract one square number from another square number, the answer is 6845. 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 = 6845

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

111² - 74² = 6845

111² is 12321 and 74² is 5476, therefore the answer to the question "What 2 square numbers subtract to make 6845?" is 12321 and 5476 as illustrated below:

12321 - 5476 = 6845

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 6845. Below we list alternate solutions if available.

471969 - 465124 = 6845

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