What 2 square numbers subtract to make 4977?

What two square numbers subtract to make 4977? In other words, when you subtract one square number from another square number, the answer is 4977. 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 = 4977

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

71² - 8² = 4977

71² is 5041 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 4977?" is 5041 and 64 as illustrated below:

5041 - 64 = 4977

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 4977. Below we list alternate solutions if available.

16641 - 11664 = 4977
78961 - 73984 = 4977
128881 - 123904 = 4977

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