What 2 square numbers subtract to make 6409?

What two square numbers subtract to make 6409? In other words, when you subtract one square number from another square number, the answer is 6409. 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 = 6409

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

125² - 96² = 6409

125² is 15625 and 96² is 9216, therefore the answer to the question "What 2 square numbers subtract to make 6409?" is 15625 and 9216 as illustrated below:

15625 - 9216 = 6409

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 6409. Below we list alternate solutions if available.

38809 - 32400 = 6409
64009 - 57600 = 6409

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