What 2 square numbers subtract to make 2376?

What two square numbers subtract to make 2376? In other words, when you subtract one square number from another square number, the answer is 2376. 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 = 2376

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

49² - 5² = 2376

49² is 2401 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 2376?" is 2401 and 25 as illustrated below:

2401 - 25 = 2376

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 2376. Below we list alternate solutions if available.

2601 - 225 = 2376
4225 - 1849 = 2376
5625 - 3249 = 2376

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What 2 square numbers subtract to make 2377?
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