What 2 square numbers subtract to make 3616?

What two square numbers subtract to make 3616? In other words, when you subtract one square number from another square number, the answer is 3616. 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 = 3616

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

121² - 105² = 3616

121² is 14641 and 105² is 11025, therefore the answer to the question "What 2 square numbers subtract to make 3616?" is 14641 and 11025 as illustrated below:

14641 - 11025 = 3616

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 3616. Below we list alternate solutions if available.

52900 - 49284 = 3616
206116 - 202500 = 3616
819025 - 815409 = 3616

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