What 2 square numbers subtract to make 4947?

What two square numbers subtract to make 4947? In other words, when you subtract one square number from another square number, the answer is 4947. 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 = 4947

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

74² - 23² = 4947

74² is 5476 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 4947?" is 5476 and 529 as illustrated below:

5476 - 529 = 4947

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 4947. Below we list alternate solutions if available.

23716 - 18769 = 4947
682276 - 677329 = 4947

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