What 2 square numbers subtract to make 6895?

What two square numbers subtract to make 6895? In other words, when you subtract one square number from another square number, the answer is 6895. 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 = 6895

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

116² - 81² = 6895

116² is 13456 and 81² is 6561, therefore the answer to the question "What 2 square numbers subtract to make 6895?" is 13456 and 6561 as illustrated below:

13456 - 6561 = 6895

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 6895. Below we list alternate solutions if available.

246016 - 239121 = 6895
478864 - 471969 = 6895

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What 2 square numbers subtract to make 6896?
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