What 2 square numbers subtract to make 7808?

What two square numbers subtract to make 7808? In other words, when you subtract one square number from another square number, the answer is 7808. 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 = 7808

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

93² - 29² = 7808

93² is 8649 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 7808?" is 8649 and 841 as illustrated below:

8649 - 841 = 7808

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 7808. Below we list alternate solutions if available.

19044 - 11236 = 7808
63504 - 55696 = 7808
242064 - 234256 = 7808

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