What 2 square numbers subtract to make 8200?

What two square numbers subtract to make 8200? In other words, when you subtract one square number from another square number, the answer is 8200. 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 = 8200

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

91² - 9² = 8200

91² is 8281 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 8200?" is 8281 and 81 as illustrated below:

8281 - 81 = 8200

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 8200. Below we list alternate solutions if available.

11449 - 3249 = 8200
46225 - 38025 = 8200
172225 - 164025 = 8200

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