What 2 square numbers subtract to make 5580?

What two square numbers subtract to make 5580? In other words, when you subtract one square number from another square number, the answer is 5580. 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 = 5580

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

76² - 14² = 5580

76² is 5776 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 5580?" is 5776 and 196 as illustrated below:

5776 - 196 = 5580

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 5580. Below we list alternate solutions if available.

11664 - 6084 = 5580
26896 - 21316 = 5580
80656 - 75076 = 5580

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