What 2 square numbers subtract to make 7785?

What two square numbers subtract to make 7785? In other words, when you subtract one square number from another square number, the answer is 7785. 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 = 7785

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

109² - 64² = 7785

109² is 11881 and 64² is 4096, therefore the answer to the question "What 2 square numbers subtract to make 7785?" is 11881 and 4096 as illustrated below:

11881 - 4096 = 7785

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 7785. Below we list alternate solutions if available.

71289 - 63504 = 7785
190969 - 183184 = 7785
609961 - 602176 = 7785

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