What 2 square numbers subtract to make 5540?

What two square numbers subtract to make 5540? In other words, when you subtract one square number from another square number, the answer is 5540. 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 = 5540

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

282² - 272² = 5540

282² is 79524 and 272² is 73984, therefore the answer to the question "What 2 square numbers subtract to make 5540?" is 79524 and 73984 as illustrated below:

79524 - 73984 = 5540

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 5540. Below we list alternate solutions if available.

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