What 2 square numbers subtract to make 7848?

What two square numbers subtract to make 7848? In other words, when you subtract one square number from another square number, the answer is 7848. 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 = 7848

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

127² - 91² = 7848

127² is 16129 and 91² is 8281, therefore the answer to the question "What 2 square numbers subtract to make 7848?" is 16129 and 8281 as illustrated below:

16129 - 8281 = 7848

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 7848. Below we list alternate solutions if available.

51529 - 43681 = 7848
110889 - 103041 = 7848
431649 - 423801 = 7848

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