What 2 square numbers subtract to make 440?

What two square numbers subtract to make 440? In other words, when you subtract one square number from another square number, the answer is 440. 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 = 440

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

21² - 1² = 440

21² is 441 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 440?" is 441 and 1 as illustrated below:

441 - 1 = 440

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 440. Below we list alternate solutions if available.

729 - 289 = 440
3249 - 2809 = 440
12321 - 11881 = 440

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