What 2 square numbers subtract to make 2320?

What two square numbers subtract to make 2320? In other words, when you subtract one square number from another square number, the answer is 2320. 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 = 2320

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

49² - 9² = 2320

49² is 2401 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 2320?" is 2401 and 81 as illustrated below:

2401 - 81 = 2320

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 2320. Below we list alternate solutions if available.

4624 - 2304 = 2320
14641 - 12321 = 2320
22201 - 19881 = 2320

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