What 2 square numbers subtract to make 9963?

What two square numbers subtract to make 9963? In other words, when you subtract one square number from another square number, the answer is 9963. 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 = 9963

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

102² - 21² = 9963

102² is 10404 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 9963?" is 10404 and 441 as illustrated below:

10404 - 441 = 9963

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 9963. Below we list alternate solutions if available.

20164 - 10201 = 9963
39204 - 29241 = 9963
311364 - 301401 = 9963

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