What 2 square numbers subtract to make 7992?

What two square numbers subtract to make 7992? In other words, when you subtract one square number from another square number, the answer is 7992. 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 = 7992

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

91² - 17² = 7992

91² is 8281 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 7992?" is 8281 and 289 as illustrated below:

8281 - 289 = 7992

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 7992. Below we list alternate solutions if available.

10201 - 2209 = 7992
16641 - 8649 = 7992
53361 - 45369 = 7992

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