What 2 square numbers subtract to make 3792?

What two square numbers subtract to make 3792? In other words, when you subtract one square number from another square number, the answer is 3792. 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 = 3792

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

91² - 67² = 3792

91² is 8281 and 67² is 4489, therefore the answer to the question "What 2 square numbers subtract to make 3792?" is 8281 and 4489 as illustrated below:

8281 - 4489 = 3792

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 3792. Below we list alternate solutions if available.

26896 - 23104 = 3792
58081 - 54289 = 3792
101761 - 97969 = 3792

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