What 2 square numbers subtract to make 9924?

What two square numbers subtract to make 9924? In other words, when you subtract one square number from another square number, the answer is 9924. 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 = 9924

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

830² - 824² = 9924

830² is 688900 and 824² is 678976, therefore the answer to the question "What 2 square numbers subtract to make 9924?" is 688900 and 678976 as illustrated below:

688900 - 678976 = 9924

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 9924. Below we list alternate solutions if available.

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