What 2 square numbers subtract to make 405?

What two square numbers subtract to make 405? In other words, when you subtract one square number from another square number, the answer is 405. 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 = 405

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

21² - 6² = 405

21² is 441 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 405?" is 441 and 36 as illustrated below:

441 - 36 = 405

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 405. Below we list alternate solutions if available.

729 - 324 = 405
1849 - 1444 = 405
4761 - 4356 = 405

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What 2 square numbers subtract to make 406?
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