What 2 square numbers subtract to make 9808?

What two square numbers subtract to make 9808? In other words, when you subtract one square number from another square number, the answer is 9808. 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 = 9808

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

617² - 609² = 9808

617² is 380689 and 609² is 370881, therefore the answer to the question "What 2 square numbers subtract to make 9808?" is 380689 and 370881 as illustrated below:

380689 - 370881 = 9808

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 9808. Below we list alternate solutions if available.

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