What 2 square numbers subtract to make 9885?

What two square numbers subtract to make 9885? In other words, when you subtract one square number from another square number, the answer is 9885. 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 = 9885

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

337² - 322² = 9885

337² is 113569 and 322² is 103684, therefore the answer to the question "What 2 square numbers subtract to make 9885?" is 113569 and 103684 as illustrated below:

113569 - 103684 = 9885

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 9885. Below we list alternate solutions if available.

982081 - 972196 = 9885

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