What 2 square numbers subtract to make 7655?

What two square numbers subtract to make 7655? In other words, when you subtract one square number from another square number, the answer is 7655. 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 = 7655

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

768² - 763² = 7655

768² is 589824 and 763² is 582169, therefore the answer to the question "What 2 square numbers subtract to make 7655?" is 589824 and 582169 as illustrated below:

589824 - 582169 = 7655

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 7655. Below we list alternate solutions if available.

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