What 2 square numbers subtract to make 6704?

What two square numbers subtract to make 6704? In other words, when you subtract one square number from another square number, the answer is 6704. 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 = 6704

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

423² - 415² = 6704

423² is 178929 and 415² is 172225, therefore the answer to the question "What 2 square numbers subtract to make 6704?" is 178929 and 172225 as illustrated below:

178929 - 172225 = 6704

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 6704. Below we list alternate solutions if available.

705600 - 698896 = 6704

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