What 2 square numbers subtract to make 2977?

What two square numbers subtract to make 2977? In other words, when you subtract one square number from another square number, the answer is 2977. 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 = 2977

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

121² - 108² = 2977

121² is 14641 and 108² is 11664, therefore the answer to the question "What 2 square numbers subtract to make 2977?" is 14641 and 11664 as illustrated below:

14641 - 11664 = 2977

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 2977. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 2978?
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