What 2 square numbers subtract to make 6853?

What two square numbers subtract to make 6853? In other words, when you subtract one square number from another square number, the answer is 6853. 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 = 6853

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

83² - 6² = 6853

83² is 6889 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 6853?" is 6889 and 36 as illustrated below:

6889 - 36 = 6853

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 6853. Below we list alternate solutions if available.

100489 - 93636 = 6853
243049 - 236196 = 6853

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