What 2 square numbers subtract to make 3409?

What two square numbers subtract to make 3409? In other words, when you subtract one square number from another square number, the answer is 3409. 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 = 3409

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

247² - 240² = 3409

247² is 61009 and 240² is 57600, therefore the answer to the question "What 2 square numbers subtract to make 3409?" is 61009 and 57600 as illustrated below:

61009 - 57600 = 3409

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 3409. Below we list alternate solutions if available.

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