What 2 square numbers subtract to make 7705?

What two square numbers subtract to make 7705? In other words, when you subtract one square number from another square number, the answer is 7705. 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 = 7705

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

91² - 24² = 7705

91² is 8281 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 7705?" is 8281 and 576 as illustrated below:

8281 - 576 = 7705

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 7705. Below we list alternate solutions if available.

32041 - 24336 = 7705
597529 - 589824 = 7705

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