What 2 square numbers subtract to make 223?

What two square numbers subtract to make 223? In other words, when you subtract one square number from another square number, the answer is 223. 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 = 223

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

112² - 111² = 223

112² is 12544 and 111² is 12321, therefore the answer to the question "What 2 square numbers subtract to make 223?" is 12544 and 12321 as illustrated below:

12544 - 12321 = 223

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 223. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 224?
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