What 2 square numbers subtract to make 6608?

What two square numbers subtract to make 6608? In other words, when you subtract one square number from another square number, the answer is 6608. 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 = 6608

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

87² - 31² = 6608

87² is 7569 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 6608?" is 7569 and 961 as illustrated below:

7569 - 961 = 6608

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 6608. Below we list alternate solutions if available.

17424 - 10816 = 6608
59049 - 52441 = 6608
173889 - 167281 = 6608

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What 2 square numbers subtract to make 6609?
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