What 2 square numbers subtract to make 1947?

What two square numbers subtract to make 1947? In other words, when you subtract one square number from another square number, the answer is 1947. 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 = 1947

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

46² - 13² = 1947

46² is 2116 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 1947?" is 2116 and 169 as illustrated below:

2116 - 169 = 1947

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 1947. Below we list alternate solutions if available.

8836 - 6889 = 1947
106276 - 104329 = 1947
948676 - 946729 = 1947

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