What 2 square numbers subtract to make 3904?

What two square numbers subtract to make 3904? In other words, when you subtract one square number from another square number, the answer is 3904. 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 = 3904

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

77² - 45² = 3904

77² is 5929 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 3904?" is 5929 and 2025 as illustrated below:

5929 - 2025 = 3904

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 3904. Below we list alternate solutions if available.

16900 - 12996 = 3904
61504 - 57600 = 3904
240100 - 236196 = 3904

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