What 2 square numbers subtract to make 8268?

What two square numbers subtract to make 8268? In other words, when you subtract one square number from another square number, the answer is 8268. 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 = 8268

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

92² - 14² = 8268

92² is 8464 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 8268?" is 8464 and 196 as illustrated below:

8464 - 196 = 8268

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 8268. Below we list alternate solutions if available.

29584 - 21316 = 8268
478864 - 470596 = 8268

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