What 2 square numbers subtract to make 7656?

What two square numbers subtract to make 7656? In other words, when you subtract one square number from another square number, the answer is 7656. 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 = 7656

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

91² - 25² = 7656

91² is 8281 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 7656?" is 8281 and 625 as illustrated below:

8281 - 625 = 7656

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 7656. Below we list alternate solutions if available.

9025 - 1369 = 7656
11881 - 4225 = 7656
34225 - 26569 = 7656

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