What 2 square numbers subtract to make 4440?

What two square numbers subtract to make 4440? In other words, when you subtract one square number from another square number, the answer is 4440. 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 = 4440

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

67² - 7² = 4440

67² is 4489 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 4440?" is 4489 and 49 as illustrated below:

4489 - 49 = 4440

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 4440. Below we list alternate solutions if available.

7921 - 3481 = 4440
14641 - 10201 = 4440
36481 - 32041 = 4440

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