What 2 square numbers subtract to make 2976?

What two square numbers subtract to make 2976? In other words, when you subtract one square number from another square number, the answer is 2976. 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 = 2976

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

55² - 7² = 2976

55² is 3025 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 2976?" is 3025 and 49 as illustrated below:

3025 - 49 = 2976

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 2976. Below we list alternate solutions if available.

5476 - 2500 = 2976
10201 - 7225 = 2976
16900 - 13924 = 2976

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