What 2 square numbers subtract to make 6835?

What two square numbers subtract to make 6835? In other words, when you subtract one square number from another square number, the answer is 6835. 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 = 6835

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

686² - 681² = 6835

686² is 470596 and 681² is 463761, therefore the answer to the question "What 2 square numbers subtract to make 6835?" is 470596 and 463761 as illustrated below:

470596 - 463761 = 6835

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 6835. Below we list alternate solutions if available.

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