What 2 square numbers subtract to make 8608?

What two square numbers subtract to make 8608? In other words, when you subtract one square number from another square number, the answer is 8608. 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 = 8608

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

277² - 261² = 8608

277² is 76729 and 261² is 68121, therefore the answer to the question "What 2 square numbers subtract to make 8608?" is 76729 and 68121 as illustrated below:

76729 - 68121 = 8608

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 8608. Below we list alternate solutions if available.

293764 - 285156 = 8608

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