What 2 square numbers subtract to make 6904?

What two square numbers subtract to make 6904? In other words, when you subtract one square number from another square number, the answer is 6904. 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 = 6904

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

865² - 861² = 6904

865² is 748225 and 861² is 741321, therefore the answer to the question "What 2 square numbers subtract to make 6904?" is 748225 and 741321 as illustrated below:

748225 - 741321 = 6904

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 6904. Below we list alternate solutions if available.

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