What 2 square numbers subtract to make 8163?

What two square numbers subtract to make 8163? In other words, when you subtract one square number from another square number, the answer is 8163. 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 = 8163

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

458² - 449² = 8163

458² is 209764 and 449² is 201601, therefore the answer to the question "What 2 square numbers subtract to make 8163?" is 209764 and 201601 as illustrated below:

209764 - 201601 = 8163

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 8163. Below we list alternate solutions if available.

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