What 2 square numbers subtract to make 4711?

What two square numbers subtract to make 4711? In other words, when you subtract one square number from another square number, the answer is 4711. 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 = 4711

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

340² - 333² = 4711

340² is 115600 and 333² is 110889, therefore the answer to the question "What 2 square numbers subtract to make 4711?" is 115600 and 110889 as illustrated below:

115600 - 110889 = 4711

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 4711. Below we list alternate solutions if available.

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