What 2 square numbers subtract to make 6800?

What two square numbers subtract to make 6800? In other words, when you subtract one square number from another square number, the answer is 6800. 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 = 6800

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

84² - 16² = 6800

84² is 7056 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 6800?" is 7056 and 256 as illustrated below:

7056 - 256 = 6800

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 6800. Below we list alternate solutions if available.

8649 - 1849 = 6800
11025 - 4225 = 6800
13689 - 6889 = 6800

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