What 2 square numbers subtract to make 408?

What two square numbers subtract to make 408? In other words, when you subtract one square number from another square number, the answer is 408. 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 = 408

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

23² - 11² = 408

23² is 529 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 408?" is 529 and 121 as illustrated below:

529 - 121 = 408

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 408. Below we list alternate solutions if available.

1369 - 961 = 408
2809 - 2401 = 408
10609 - 10201 = 408

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