What 2 square numbers subtract to make 8185?


What two square numbers subtract to make 8185? In other words, when you subtract one square number from another square number, the answer is 8185. 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 = 8185

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

8212 - 8162 = 8185

8212 is 674041 and 8162 is 665856, therefore the answer to the question "What 2 square numbers subtract to make 8185?" is 674041 and 665856 as illustrated below:

674041 - 665856 = 8185


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 8185. Below we list alternate solutions if available.

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