What 2 square numbers subtract to make 8440?

What two square numbers subtract to make 8440? In other words, when you subtract one square number from another square number, the answer is 8440. 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 = 8440

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

221² - 201² = 8440

221² is 48841 and 201² is 40401, therefore the answer to the question "What 2 square numbers subtract to make 8440?" is 48841 and 40401 as illustrated below:

48841 - 40401 = 8440

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 8440. Below we list alternate solutions if available.

182329 - 173889 = 8440

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