What 2 square numbers subtract to make 2685?

What two square numbers subtract to make 2685? In other words, when you subtract one square number from another square number, the answer is 2685. 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 = 2685

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

97² - 82² = 2685

97² is 9409 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 2685?" is 9409 and 6724 as illustrated below:

9409 - 6724 = 2685

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 2685. Below we list alternate solutions if available.

73441 - 70756 = 2685
201601 - 198916 = 2685

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