What 2 square numbers subtract to make 8489?

What two square numbers subtract to make 8489? In other words, when you subtract one square number from another square number, the answer is 8489. 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 = 8489

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

333² - 320² = 8489

333² is 110889 and 320² is 102400, therefore the answer to the question "What 2 square numbers subtract to make 8489?" is 110889 and 102400 as illustrated below:

110889 - 102400 = 8489

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 8489. Below we list alternate solutions if available.

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