What 2 square numbers subtract to make 6605?

What two square numbers subtract to make 6605? In other words, when you subtract one square number from another square number, the answer is 6605. 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 = 6605

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

663² - 658² = 6605

663² is 439569 and 658² is 432964, therefore the answer to the question "What 2 square numbers subtract to make 6605?" is 439569 and 432964 as illustrated below:

439569 - 432964 = 6605

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 6605. Below we list alternate solutions if available.

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