What 2 square numbers subtract to make 5112?

What two square numbers subtract to make 5112? In other words, when you subtract one square number from another square number, the answer is 5112. 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 = 5112

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

89² - 53² = 5112

89² is 7921 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 5112?" is 7921 and 2809 as illustrated below:

7921 - 2809 = 5112

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 5112. Below we list alternate solutions if available.

22801 - 17689 = 5112
47961 - 42849 = 5112
184041 - 178929 = 5112

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