What 2 square numbers subtract to make 4417?

What two square numbers subtract to make 4417? In other words, when you subtract one square number from another square number, the answer is 4417. 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 = 4417

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

319² - 312² = 4417

319² is 101761 and 312² is 97344, therefore the answer to the question "What 2 square numbers subtract to make 4417?" is 101761 and 97344 as illustrated below:

101761 - 97344 = 4417

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 4417. Below we list alternate solutions if available.

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