What 2 square numbers subtract to make 8993?

What two square numbers subtract to make 8993? In other words, when you subtract one square number from another square number, the answer is 8993. 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 = 8993

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

207² - 184² = 8993

207² is 42849 and 184² is 33856, therefore the answer to the question "What 2 square numbers subtract to make 8993?" is 42849 and 33856 as illustrated below:

42849 - 33856 = 8993

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 8993. Below we list alternate solutions if available.

74529 - 65536 = 8993

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