What 2 square numbers subtract to make 4685?

What two square numbers subtract to make 4685? In other words, when you subtract one square number from another square number, the answer is 4685. 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 = 4685

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

471² - 466² = 4685

471² is 221841 and 466² is 217156, therefore the answer to the question "What 2 square numbers subtract to make 4685?" is 221841 and 217156 as illustrated below:

221841 - 217156 = 4685

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 4685. Below we list alternate solutions if available.

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