What 2 square numbers subtract to make 7947?

What two square numbers subtract to make 7947? In other words, when you subtract one square number from another square number, the answer is 7947. 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 = 7947

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

446² - 437² = 7947

446² is 198916 and 437² is 190969, therefore the answer to the question "What 2 square numbers subtract to make 7947?" is 198916 and 190969 as illustrated below:

198916 - 190969 = 7947

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 7947. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7948?
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