What 2 square numbers subtract to make 8672?

What two square numbers subtract to make 8672? In other words, when you subtract one square number from another square number, the answer is 8672. 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 = 8672

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

279² - 263² = 8672

279² is 77841 and 263² is 69169, therefore the answer to the question "What 2 square numbers subtract to make 8672?" is 77841 and 69169 as illustrated below:

77841 - 69169 = 8672

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 8672. Below we list alternate solutions if available.

298116 - 289444 = 8672

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