What 2 square numbers subtract to make 9228?

What two square numbers subtract to make 9228? In other words, when you subtract one square number from another square number, the answer is 9228. 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 = 9228

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

772² - 766² = 9228

772² is 595984 and 766² is 586756, therefore the answer to the question "What 2 square numbers subtract to make 9228?" is 595984 and 586756 as illustrated below:

595984 - 586756 = 9228

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 9228. Below we list alternate solutions if available.

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