What 2 square numbers subtract to make 8016?

What two square numbers subtract to make 8016? In other words, when you subtract one square number from another square number, the answer is 8016. 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 = 8016

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

179² - 155² = 8016

179² is 32041 and 155² is 24025, therefore the answer to the question "What 2 square numbers subtract to make 8016?" is 32041 and 24025 as illustrated below:

32041 - 24025 = 8016

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 8016. Below we list alternate solutions if available.

115600 - 107584 = 8016
255025 - 247009 = 8016
450241 - 442225 = 8016

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