What 2 square numbers subtract to make 2608?

What two square numbers subtract to make 2608? In other words, when you subtract one square number from another square number, the answer is 2608. 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 = 2608

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

167² - 159² = 2608

167² is 27889 and 159² is 25281, therefore the answer to the question "What 2 square numbers subtract to make 2608?" is 27889 and 25281 as illustrated below:

27889 - 25281 = 2608

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 2608. Below we list alternate solutions if available.

107584 - 104976 = 2608
426409 - 423801 = 2608

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