What 2 square numbers subtract to make 8992?

What two square numbers subtract to make 8992? In other words, when you subtract one square number from another square number, the answer is 8992. 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 = 8992

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

289² - 273² = 8992

289² is 83521 and 273² is 74529, therefore the answer to the question "What 2 square numbers subtract to make 8992?" is 83521 and 74529 as illustrated below:

83521 - 74529 = 8992

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 8992. Below we list alternate solutions if available.

320356 - 311364 = 8992

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