What 2 square numbers subtract to make 4791?

What two square numbers subtract to make 4791? In other words, when you subtract one square number from another square number, the answer is 4791. 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 = 4791

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

800² - 797² = 4791

800² is 640000 and 797² is 635209, therefore the answer to the question "What 2 square numbers subtract to make 4791?" is 640000 and 635209 as illustrated below:

640000 - 635209 = 4791

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 4791. Below we list alternate solutions if available.

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