What 2 square numbers subtract to make 9940?

What two square numbers subtract to make 9940? In other words, when you subtract one square number from another square number, the answer is 9940. 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 = 9940

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

106² - 36² = 9940

106² is 11236 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 9940?" is 11236 and 1296 as illustrated below:

11236 - 1296 = 9940

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 9940. Below we list alternate solutions if available.

131044 - 121104 = 9940
252004 - 242064 = 9940

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