What 2 square numbers subtract to make 664?

What two square numbers subtract to make 664? In other words, when you subtract one square number from another square number, the answer is 664. 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 = 664

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

85² - 81² = 664

85² is 7225 and 81² is 6561, therefore the answer to the question "What 2 square numbers subtract to make 664?" is 7225 and 6561 as illustrated below:

7225 - 6561 = 664

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 664. Below we list alternate solutions if available.

27889 - 27225 = 664

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