What 2 square numbers subtract to make 3123?

What two square numbers subtract to make 3123? In other words, when you subtract one square number from another square number, the answer is 3123. 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 = 3123

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

178² - 169² = 3123

178² is 31684 and 169² is 28561, therefore the answer to the question "What 2 square numbers subtract to make 3123?" is 31684 and 28561 as illustrated below:

31684 - 28561 = 3123

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 3123. Below we list alternate solutions if available.

272484 - 269361 = 3123

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