What 2 square numbers subtract to make 6016?

What two square numbers subtract to make 6016? In other words, when you subtract one square number from another square number, the answer is 6016. 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 = 6016

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

79² - 15² = 6016

79² is 6241 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 6016?" is 6241 and 225 as illustrated below:

6241 - 225 = 6016

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 6016. Below we list alternate solutions if available.

12100 - 6084 = 6016
38416 - 32400 = 6016
144400 - 138384 = 6016

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