What 2 square numbers subtract to make 2484?

What two square numbers subtract to make 2484? In other words, when you subtract one square number from another square number, the answer is 2484. 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 = 2484

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

50² - 4² = 2484

50² is 2500 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 2484?" is 2500 and 16 as illustrated below:

2500 - 16 = 2484

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 2484. Below we list alternate solutions if available.

6084 - 3600 = 2484
44100 - 41616 = 2484
386884 - 384400 = 2484

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