What 2 square numbers subtract to make 4785?

What two square numbers subtract to make 4785? In other words, when you subtract one square number from another square number, the answer is 4785. 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 = 4785

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

71² - 16² = 4785

71² is 5041 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 4785?" is 5041 and 256 as illustrated below:

5041 - 256 = 4785

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 4785. Below we list alternate solutions if available.

7921 - 3136 = 4785
9409 - 4624 = 4785
27889 - 23104 = 4785

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