What 2 square numbers subtract to make 2121?

What two square numbers subtract to make 2121? In other words, when you subtract one square number from another square number, the answer is 2121. 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 = 2121

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

61² - 40² = 2121

61² is 3721 and 40² is 1600, therefore the answer to the question "What 2 square numbers subtract to make 2121?" is 3721 and 1600 as illustrated below:

3721 - 1600 = 2121

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 2121. Below we list alternate solutions if available.

24025 - 21904 = 2121
126025 - 123904 = 2121

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