What 2 square numbers subtract to make 2160?

What two square numbers subtract to make 2160? In other words, when you subtract one square number from another square number, the answer is 2160. 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 = 2160

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

47² - 7² = 2160

47² is 2209 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 2160?" is 2209 and 49 as illustrated below:

2209 - 49 = 2160

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 2160. Below we list alternate solutions if available.

2304 - 144 = 2160
2601 - 441 = 2160
3249 - 1089 = 2160

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