What 2 square numbers subtract to make 8205?


What two square numbers subtract to make 8205? In other words, when you subtract one square number from another square number, the answer is 8205. 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 = 8205

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

2812 - 2662 = 8205

2812 is 78961 and 2662 is 70756, therefore the answer to the question "What 2 square numbers subtract to make 8205?" is 78961 and 70756 as illustrated below:

78961 - 70756 = 8205


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 8205. Below we list alternate solutions if available.

677329 - 669124 = 8205

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