What 2 square numbers subtract to make 8109?

What two square numbers subtract to make 8109? In other words, when you subtract one square number from another square number, the answer is 8109. 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 = 8109

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

103² - 50² = 8109

103² is 10609 and 50² is 2500, therefore the answer to the question "What 2 square numbers subtract to make 8109?" is 10609 and 2500 as illustrated below:

10609 - 2500 = 8109

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 8109. Below we list alternate solutions if available.

11025 - 2916 = 8109
61009 - 52900 = 8109
207025 - 198916 = 8109

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