What 2 square numbers subtract to make 116?

What two square numbers subtract to make 116? In other words, when you subtract one square number from another square number, the answer is 116. 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 = 116

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

30² - 28² = 116

30² is 900 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 116?" is 900 and 784 as illustrated below:

900 - 784 = 116

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 116. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 117?
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