What 2 square numbers subtract to make 2368?

What two square numbers subtract to make 2368? In other words, when you subtract one square number from another square number, the answer is 2368. 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 = 2368

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

53² - 21² = 2368

53² is 2809 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 2368?" is 2809 and 441 as illustrated below:

2809 - 441 = 2368

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 2368. Below we list alternate solutions if available.

6724 - 4356 = 2368
23104 - 20736 = 2368
88804 - 86436 = 2368

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What 2 square numbers subtract to make 2369?
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