What 2 square numbers subtract to make 2947?

What two square numbers subtract to make 2947? In other words, when you subtract one square number from another square number, the answer is 2947. 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 = 2947

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

214² - 207² = 2947

214² is 45796 and 207² is 42849, therefore the answer to the question "What 2 square numbers subtract to make 2947?" is 45796 and 42849 as illustrated below:

45796 - 42849 = 2947

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 2947. Below we list alternate solutions if available.

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