What 2 square numbers subtract to make 3208?

What two square numbers subtract to make 3208? In other words, when you subtract one square number from another square number, the answer is 3208. 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 = 3208

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

403² - 399² = 3208

403² is 162409 and 399² is 159201, therefore the answer to the question "What 2 square numbers subtract to make 3208?" is 162409 and 159201 as illustrated below:

162409 - 159201 = 3208

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 3208. Below we list alternate solutions if available.

644809 - 641601 = 3208

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