What 2 square numbers subtract to make 6805?

What two square numbers subtract to make 6805? In other words, when you subtract one square number from another square number, the answer is 6805. 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 = 6805

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

683² - 678² = 6805

683² is 466489 and 678² is 459684, therefore the answer to the question "What 2 square numbers subtract to make 6805?" is 466489 and 459684 as illustrated below:

466489 - 459684 = 6805

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 6805. Below we list alternate solutions if available.

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