What 2 square numbers subtract to make 3489?

What two square numbers subtract to make 3489? In other words, when you subtract one square number from another square number, the answer is 3489. 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 = 3489

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

583² - 580² = 3489

583² is 339889 and 580² is 336400, therefore the answer to the question "What 2 square numbers subtract to make 3489?" is 339889 and 336400 as illustrated below:

339889 - 336400 = 3489

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 3489. Below we list alternate solutions if available.

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