What 2 square numbers subtract to make 3664?

What two square numbers subtract to make 3664? In other words, when you subtract one square number from another square number, the answer is 3664. 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 = 3664

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

233² - 225² = 3664

233² is 54289 and 225² is 50625, therefore the answer to the question "What 2 square numbers subtract to make 3664?" is 54289 and 50625 as illustrated below:

54289 - 50625 = 3664

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 3664. Below we list alternate solutions if available.

211600 - 207936 = 3664
840889 - 837225 = 3664

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