What 2 square numbers subtract to make 1809?

What two square numbers subtract to make 1809? In other words, when you subtract one square number from another square number, the answer is 1809. 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 = 1809

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

47² - 20² = 1809

47² is 2209 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 1809?" is 2209 and 400 as illustrated below:

2209 - 400 = 1809

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 1809. Below we list alternate solutions if available.

11025 - 9216 = 1809
91809 - 90000 = 1809
819025 - 817216 = 1809

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