What 2 square numbers subtract to make 3804?

What two square numbers subtract to make 3804? In other words, when you subtract one square number from another square number, the answer is 3804. 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 = 3804

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

320² - 314² = 3804

320² is 102400 and 314² is 98596, therefore the answer to the question "What 2 square numbers subtract to make 3804?" is 102400 and 98596 as illustrated below:

102400 - 98596 = 3804

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 3804. Below we list alternate solutions if available.

906304 - 902500 = 3804

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