What 2 square numbers subtract to make 6969?

What two square numbers subtract to make 6969? In other words, when you subtract one square number from another square number, the answer is 6969. 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 = 6969

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

85² - 16² = 6969

85² is 7225 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 6969?" is 7225 and 256 as illustrated below:

7225 - 256 = 6969

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 6969. Below we list alternate solutions if available.

26569 - 19600 = 6969

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