What 2 square numbers subtract to make 7744?

What two square numbers subtract to make 7744? In other words, when you subtract one square number from another square number, the answer is 7744. 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 = 7744

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

110² - 66² = 7744

110² is 12100 and 66² is 4356, therefore the answer to the question "What 2 square numbers subtract to make 7744?" is 12100 and 4356 as illustrated below:

12100 - 4356 = 7744

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 7744. Below we list alternate solutions if available.

18769 - 11025 = 7744
34969 - 27225 = 7744
62500 - 54756 = 7744

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