What 2 square numbers subtract to make 7165?

What two square numbers subtract to make 7165? In other words, when you subtract one square number from another square number, the answer is 7165. 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 = 7165

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

719² - 714² = 7165

719² is 516961 and 714² is 509796, therefore the answer to the question "What 2 square numbers subtract to make 7165?" is 516961 and 509796 as illustrated below:

516961 - 509796 = 7165

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 7165. Below we list alternate solutions if available.

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