What 2 square numbers subtract to make 6992?

What two square numbers subtract to make 6992? In other words, when you subtract one square number from another square number, the answer is 6992. 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 = 6992

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

84² - 8² = 6992

84² is 7056 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 6992?" is 7056 and 64 as illustrated below:

7056 - 64 = 6992

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 6992. Below we list alternate solutions if available.

9801 - 2809 = 6992
12321 - 5329 = 6992
194481 - 187489 = 6992

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