What 2 square numbers subtract to make 5508?

What two square numbers subtract to make 5508? In other words, when you subtract one square number from another square number, the answer is 5508. 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 = 5508

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

78² - 24² = 5508

78² is 6084 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 5508?" is 6084 and 576 as illustrated below:

6084 - 576 = 5508

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 5508. Below we list alternate solutions if available.

9604 - 4096 = 5508
26244 - 20736 = 5508
213444 - 207936 = 5508

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