What 2 square numbers subtract to make 9913?

What two square numbers subtract to make 9913? In other words, when you subtract one square number from another square number, the answer is 9913. 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 = 9913

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

227² - 204² = 9913

227² is 51529 and 204² is 41616, therefore the answer to the question "What 2 square numbers subtract to make 9913?" is 51529 and 41616 as illustrated below:

51529 - 41616 = 9913

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 9913. Below we list alternate solutions if available.

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