What 2 square numbers subtract to make 8316?

What two square numbers subtract to make 8316? In other words, when you subtract one square number from another square number, the answer is 8316. 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 = 8316

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

96² - 30² = 8316

96² is 9216 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 8316?" is 9216 and 900 as illustrated below:

9216 - 900 = 8316

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 8316. Below we list alternate solutions if available.

10816 - 2500 = 8316
14400 - 6084 = 8316
40000 - 31684 = 8316

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