What 2 square numbers subtract to make 9247?

What two square numbers subtract to make 9247? In other words, when you subtract one square number from another square number, the answer is 9247. 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 = 9247

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

664² - 657² = 9247

664² is 440896 and 657² is 431649, therefore the answer to the question "What 2 square numbers subtract to make 9247?" is 440896 and 431649 as illustrated below:

440896 - 431649 = 9247

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 9247. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 9248?
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