What 2 square numbers subtract to make 6864?

What two square numbers subtract to make 6864? In other words, when you subtract one square number from another square number, the answer is 6864. 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 = 6864

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

83² - 5² = 6864

83² is 6889 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 6864?" is 6889 and 25 as illustrated below:

6889 - 25 = 6864

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 6864. Below we list alternate solutions if available.

7225 - 361 = 6864
8464 - 1600 = 6864
10000 - 3136 = 6864

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