What 2 square numbers subtract to make 8388?

What two square numbers subtract to make 8388? In other words, when you subtract one square number from another square number, the answer is 8388. 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 = 8388

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

242² - 224² = 8388

242² is 58564 and 224² is 50176, therefore the answer to the question "What 2 square numbers subtract to make 8388?" is 58564 and 50176 as illustrated below:

58564 - 50176 = 8388

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 8388. Below we list alternate solutions if available.

492804 - 484416 = 8388

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