What 2 square numbers subtract to make 192?

What two square numbers subtract to make 192? In other words, when you subtract one square number from another square number, the answer is 192. 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 = 192

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

14² - 2² = 192

14² is 196 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 192?" is 196 and 4 as illustrated below:

196 - 4 = 192

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 192. Below we list alternate solutions if available.

256 - 64 = 192
361 - 169 = 192
676 - 484 = 192

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What 2 square numbers subtract to make 193?
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