What 2 square numbers subtract to make 6640?

What two square numbers subtract to make 6640? In other words, when you subtract one square number from another square number, the answer is 6640. 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 = 6640

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

103² - 63² = 6640

103² is 10609 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 6640?" is 10609 and 3969 as illustrated below:

10609 - 3969 = 6640

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 6640. Below we list alternate solutions if available.

30976 - 24336 = 6640
113569 - 106929 = 6640
175561 - 168921 = 6640

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