What 2 square numbers subtract to make 8404?

What two square numbers subtract to make 8404? In other words, when you subtract one square number from another square number, the answer is 8404. 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 = 8404

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

202² - 180² = 8404

202² is 40804 and 180² is 32400, therefore the answer to the question "What 2 square numbers subtract to make 8404?" is 40804 and 32400 as illustrated below:

40804 - 32400 = 8404

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 8404. Below we list alternate solutions if available.

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