What 2 square numbers subtract to make 3289?

What two square numbers subtract to make 3289? In other words, when you subtract one square number from another square number, the answer is 3289. 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 = 3289

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

83² - 60² = 3289

83² is 6889 and 60² is 3600, therefore the answer to the question "What 2 square numbers subtract to make 3289?" is 6889 and 3600 as illustrated below:

6889 - 3600 = 3289

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 3289. Below we list alternate solutions if available.

17689 - 14400 = 3289
24025 - 20736 = 3289

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