What 2 square numbers subtract to make 4191?

What two square numbers subtract to make 4191? In other words, when you subtract one square number from another square number, the answer is 4191. 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 = 4191

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

80² - 47² = 4191

80² is 6400 and 47² is 2209, therefore the answer to the question "What 2 square numbers subtract to make 4191?" is 6400 and 2209 as illustrated below:

6400 - 2209 = 4191

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 4191. Below we list alternate solutions if available.

38416 - 34225 = 4191
490000 - 485809 = 4191

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