What 2 square numbers subtract to make 9628?

What two square numbers subtract to make 9628? In other words, when you subtract one square number from another square number, the answer is 9628. 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 = 9628

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

112² - 54² = 9628

112² is 12544 and 54² is 2916, therefore the answer to the question "What 2 square numbers subtract to make 9628?" is 12544 and 2916 as illustrated below:

12544 - 2916 = 9628

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 9628. Below we list alternate solutions if available.

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