What 2 square numbers subtract to make 2343?

What two square numbers subtract to make 2343? In other words, when you subtract one square number from another square number, the answer is 2343. 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 = 2343

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

52² - 19² = 2343

52² is 2704 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 2343?" is 2704 and 361 as illustrated below:

2704 - 361 = 2343

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 2343. Below we list alternate solutions if available.

12544 - 10201 = 2343
153664 - 151321 = 2343

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