What 2 square numbers subtract to make 3324?

What two square numbers subtract to make 3324? In other words, when you subtract one square number from another square number, the answer is 3324. 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 = 3324

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

280² - 274² = 3324

280² is 78400 and 274² is 75076, therefore the answer to the question "What 2 square numbers subtract to make 3324?" is 78400 and 75076 as illustrated below:

78400 - 75076 = 3324

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 3324. Below we list alternate solutions if available.

692224 - 688900 = 3324

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