What 2 square numbers subtract to make 7781?

What two square numbers subtract to make 7781? In other words, when you subtract one square number from another square number, the answer is 7781. 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 = 7781

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

141² - 110² = 7781

141² is 19881 and 110² is 12100, therefore the answer to the question "What 2 square numbers subtract to make 7781?" is 19881 and 12100 as illustrated below:

19881 - 12100 = 7781

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 7781. Below we list alternate solutions if available.

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