What 2 square numbers subtract to make 2280?

What two square numbers subtract to make 2280? In other words, when you subtract one square number from another square number, the answer is 2280. 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 = 2280

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

49² - 11² = 2280

49² is 2401 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 2280?" is 2401 and 121 as illustrated below:

2401 - 121 = 2280

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 2280. Below we list alternate solutions if available.

2809 - 529 = 2280
4489 - 2209 = 2280
10201 - 7921 = 2280

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