What 2 square numbers subtract to make 413?

What two square numbers subtract to make 413? In other words, when you subtract one square number from another square number, the answer is 413. 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 = 413

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

33² - 26² = 413

33² is 1089 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 413?" is 1089 and 676 as illustrated below:

1089 - 676 = 413

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 413. Below we list alternate solutions if available.

42849 - 42436 = 413

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