What 2 square numbers subtract to make 6696?

What two square numbers subtract to make 6696? In other words, when you subtract one square number from another square number, the answer is 6696. 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 = 6696

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

85² - 23² = 6696

85² is 7225 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 6696?" is 7225 and 529 as illustrated below:

7225 - 529 = 6696

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 6696. Below we list alternate solutions if available.

7921 - 1225 = 6696
12321 - 5625 = 6696
38025 - 31329 = 6696

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