What 2 square numbers subtract to make 1223?

What two square numbers subtract to make 1223? In other words, when you subtract one square number from another square number, the answer is 1223. 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 = 1223

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

612² - 611² = 1223

612² is 374544 and 611² is 373321, therefore the answer to the question "What 2 square numbers subtract to make 1223?" is 374544 and 373321 as illustrated below:

374544 - 373321 = 1223

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 1223. Below we list alternate solutions if available.

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