What 2 square numbers subtract to make 1616?

What two square numbers subtract to make 1616? In other words, when you subtract one square number from another square number, the answer is 1616. 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 = 1616

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

105² - 97² = 1616

105² is 11025 and 97² is 9409, therefore the answer to the question "What 2 square numbers subtract to make 1616?" is 11025 and 9409 as illustrated below:

11025 - 9409 = 1616

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 1616. Below we list alternate solutions if available.

41616 - 40000 = 1616
164025 - 162409 = 1616

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