What 2 square numbers subtract to make 6975?

What two square numbers subtract to make 6975? In other words, when you subtract one square number from another square number, the answer is 6975. 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 = 6975

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

84² - 9² = 6975

84² is 7056 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 6975?" is 7056 and 81 as illustrated below:

7056 - 81 = 6975

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 6975. Below we list alternate solutions if available.

10000 - 3025 = 6975
16384 - 9409 = 6975
23104 - 16129 = 6975

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