What 2 square numbers subtract to make 3865?

What two square numbers subtract to make 3865? In other words, when you subtract one square number from another square number, the answer is 3865. 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 = 3865

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

389² - 384² = 3865

389² is 151321 and 384² is 147456, therefore the answer to the question "What 2 square numbers subtract to make 3865?" is 151321 and 147456 as illustrated below:

151321 - 147456 = 3865

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 3865. Below we list alternate solutions if available.

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