What 2 square numbers subtract to make 7115?

What two square numbers subtract to make 7115? In other words, when you subtract one square number from another square number, the answer is 7115. 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 = 7115

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

714² - 709² = 7115

714² is 509796 and 709² is 502681, therefore the answer to the question "What 2 square numbers subtract to make 7115?" is 509796 and 502681 as illustrated below:

509796 - 502681 = 7115

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 7115. Below we list alternate solutions if available.

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