What 2 square numbers subtract to make 2649?

What two square numbers subtract to make 2649? In other words, when you subtract one square number from another square number, the answer is 2649. 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 = 2649

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

443² - 440² = 2649

443² is 196249 and 440² is 193600, therefore the answer to the question "What 2 square numbers subtract to make 2649?" is 196249 and 193600 as illustrated below:

196249 - 193600 = 2649

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 2649. Below we list alternate solutions if available.

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