What 2 square numbers subtract to make 3297?

What two square numbers subtract to make 3297? In other words, when you subtract one square number from another square number, the answer is 3297. 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 = 3297

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

89² - 68² = 3297

89² is 7921 and 68² is 4624, therefore the answer to the question "What 2 square numbers subtract to make 3297?" is 7921 and 4624 as illustrated below:

7921 - 4624 = 3297

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 3297. Below we list alternate solutions if available.

57121 - 53824 = 3297
303601 - 300304 = 3297

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