What 2 square numbers subtract to make 5184?

What two square numbers subtract to make 5184? In other words, when you subtract one square number from another square number, the answer is 5184. 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 = 5184

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

75² - 21² = 5184

75² is 5625 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 5184?" is 5625 and 441 as illustrated below:

5625 - 441 = 5184

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 5184. Below we list alternate solutions if available.

6084 - 900 = 5184
8100 - 2916 = 5184
9409 - 4225 = 5184

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