What 2 square numbers subtract to make 9675?

What two square numbers subtract to make 9675? In other words, when you subtract one square number from another square number, the answer is 9675. 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 = 9675

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

102² - 27² = 9675

102² is 10404 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 9675?" is 10404 and 729 as illustrated below:

10404 - 729 = 9675

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 9675. Below we list alternate solutions if available.

16900 - 7225 = 9675
17956 - 8281 = 9675
42436 - 32761 = 9675

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