What 2 square numbers subtract to make 9580?

What two square numbers subtract to make 9580? In other words, when you subtract one square number from another square number, the answer is 9580. 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 = 9580

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

484² - 474² = 9580

484² is 234256 and 474² is 224676, therefore the answer to the question "What 2 square numbers subtract to make 9580?" is 234256 and 224676 as illustrated below:

234256 - 224676 = 9580

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 9580. Below we list alternate solutions if available.

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