What 2 square numbers subtract to make 2412?

What two square numbers subtract to make 2412? In other words, when you subtract one square number from another square number, the answer is 2412. 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 = 2412

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

76² - 58² = 2412

76² is 5776 and 58² is 3364, therefore the answer to the question "What 2 square numbers subtract to make 2412?" is 5776 and 3364 as illustrated below:

5776 - 3364 = 2412

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 2412. Below we list alternate solutions if available.

41616 - 39204 = 2412
364816 - 362404 = 2412

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