What 2 square numbers subtract to make 2348?

What two square numbers subtract to make 2348? In other words, when you subtract one square number from another square number, the answer is 2348. 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 = 2348

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

588² - 586² = 2348

588² is 345744 and 586² is 343396, therefore the answer to the question "What 2 square numbers subtract to make 2348?" is 345744 and 343396 as illustrated below:

345744 - 343396 = 2348

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 2348. Below we list alternate solutions if available.

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