What 2 square numbers subtract to make 2413?

What two square numbers subtract to make 2413? In other words, when you subtract one square number from another square number, the answer is 2413. 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 = 2413

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

73² - 54² = 2413

73² is 5329 and 54² is 2916, therefore the answer to the question "What 2 square numbers subtract to make 2413?" is 5329 and 2916 as illustrated below:

5329 - 2916 = 2413

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 2413. Below we list alternate solutions if available.

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