What 2 square numbers subtract to make 1016?

What two square numbers subtract to make 1016? In other words, when you subtract one square number from another square number, the answer is 1016. 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 = 1016

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

129² - 125² = 1016

129² is 16641 and 125² is 15625, therefore the answer to the question "What 2 square numbers subtract to make 1016?" is 16641 and 15625 as illustrated below:

16641 - 15625 = 1016

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 1016. Below we list alternate solutions if available.

65025 - 64009 = 1016

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