What 2 square numbers subtract to make 2785?

What two square numbers subtract to make 2785? In other words, when you subtract one square number from another square number, the answer is 2785. 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 = 2785

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

281² - 276² = 2785

281² is 78961 and 276² is 76176, therefore the answer to the question "What 2 square numbers subtract to make 2785?" is 78961 and 76176 as illustrated below:

78961 - 76176 = 2785

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 2785. Below we list alternate solutions if available.

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