What 2 square numbers subtract to make 7585?

What two square numbers subtract to make 7585? In other words, when you subtract one square number from another square number, the answer is 7585. 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 = 7585

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

113² - 72² = 7585

113² is 12769 and 72² is 5184, therefore the answer to the question "What 2 square numbers subtract to make 7585?" is 12769 and 5184 as illustrated below:

12769 - 5184 = 7585

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 7585. Below we list alternate solutions if available.

14641 - 7056 = 7585
579121 - 571536 = 7585

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