What 2 square numbers subtract to make 2720?

What two square numbers subtract to make 2720? In other words, when you subtract one square number from another square number, the answer is 2720. 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 = 2720

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

54² - 14² = 2720

54² is 2916 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 2720?" is 2916 and 196 as illustrated below:

2916 - 196 = 2720

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 2720. Below we list alternate solutions if available.

3249 - 529 = 2720
6084 - 3364 = 2720
8649 - 5929 = 2720

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