What 2 square numbers subtract to make 9220?

What two square numbers subtract to make 9220? In other words, when you subtract one square number from another square number, the answer is 9220. 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 = 9220

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

466² - 456² = 9220

466² is 217156 and 456² is 207936, therefore the answer to the question "What 2 square numbers subtract to make 9220?" is 217156 and 207936 as illustrated below:

217156 - 207936 = 9220

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 9220. Below we list alternate solutions if available.

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