What 2 square numbers subtract to make 7709?

What two square numbers subtract to make 7709? In other words, when you subtract one square number from another square number, the answer is 7709. 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 = 7709

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

303² - 290² = 7709

303² is 91809 and 290² is 84100, therefore the answer to the question "What 2 square numbers subtract to make 7709?" is 91809 and 84100 as illustrated below:

91809 - 84100 = 7709

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 7709. Below we list alternate solutions if available.

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