What 2 square numbers subtract to make 7696?

What two square numbers subtract to make 7696? In other words, when you subtract one square number from another square number, the answer is 7696. 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 = 7696

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

89² - 15² = 7696

89² is 7921 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 7696?" is 7921 and 225 as illustrated below:

7921 - 225 = 7696

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 7696. Below we list alternate solutions if available.

10000 - 2304 = 7696
25921 - 18225 = 7696
235225 - 227529 = 7696

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