What 2 square numbers subtract to make 9108?

What two square numbers subtract to make 9108? In other words, when you subtract one square number from another square number, the answer is 9108. 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 = 9108

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

102² - 36² = 9108

102² is 10404 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 9108?" is 10404 and 1296 as illustrated below:

10404 - 1296 = 9108

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 9108. Below we list alternate solutions if available.

14884 - 5776 = 9108
47524 - 38416 = 9108
68644 - 59536 = 9108

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What 2 square numbers subtract to make 9109?
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