What 2 square numbers subtract to make 9408?

What two square numbers subtract to make 9408? In other words, when you subtract one square number from another square number, the answer is 9408. 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 = 9408

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

97² - 1² = 9408

97² is 9409 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 9408?" is 9409 and 1 as illustrated below:

9409 - 1 = 9408

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 9408. Below we list alternate solutions if available.

9604 - 196 = 9408
12544 - 3136 = 9408
14884 - 5476 = 9408

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What 2 square numbers subtract to make 9409?
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