What 2 square numbers subtract to make 7968?

What two square numbers subtract to make 7968? In other words, when you subtract one square number from another square number, the answer is 7968. 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 = 7968

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

107² - 59² = 7968

107² is 11449 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 7968?" is 11449 and 3481 as illustrated below:

11449 - 3481 = 7968

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 7968. Below we list alternate solutions if available.

31684 - 23716 = 7968
66049 - 58081 = 7968
114244 - 106276 = 7968

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