What 2 square numbers subtract to make 9805?

What two square numbers subtract to make 9805? In other words, when you subtract one square number from another square number, the answer is 9805. 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 = 9805

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

119² - 66² = 9805

119² is 14161 and 66² is 4356, therefore the answer to the question "What 2 square numbers subtract to make 9805?" is 14161 and 4356 as illustrated below:

14161 - 4356 = 9805

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 9805. Below we list alternate solutions if available.

22801 - 12996 = 9805
966289 - 956484 = 9805

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