What 2 square numbers subtract to make 2340?

What two square numbers subtract to make 2340? In other words, when you subtract one square number from another square number, the answer is 2340. 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 = 2340

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

54² - 24² = 2340

54² is 2916 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 2340?" is 2916 and 576 as illustrated below:

2916 - 576 = 2340

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 2340. Below we list alternate solutions if available.

3364 - 1024 = 2340
5476 - 3136 = 2340
14884 - 12544 = 2340

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