What 2 square numbers subtract to make 4872?

What two square numbers subtract to make 4872? In other words, when you subtract one square number from another square number, the answer is 4872. 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 = 4872

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

71² - 13² = 4872

71² is 5041 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 4872?" is 5041 and 169 as illustrated below:

5041 - 169 = 4872

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 4872. Below we list alternate solutions if available.

6241 - 1369 = 4872
10201 - 5329 = 4872
32761 - 27889 = 4872

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