What 2 square numbers subtract to make 8820?

What two square numbers subtract to make 8820? In other words, when you subtract one square number from another square number, the answer is 8820. 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 = 8820

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

94² - 4² = 8820

94² is 8836 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 8820?" is 8836 and 16 as illustrated below:

8836 - 16 = 8820

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 8820. Below we list alternate solutions if available.

9604 - 784 = 8820
15876 - 7056 = 8820
26244 - 17424 = 8820

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What 2 square numbers subtract to make 8821?
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