What 2 square numbers subtract to make 4627?

What two square numbers subtract to make 4627? In other words, when you subtract one square number from another square number, the answer is 4627. 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 = 4627

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

334² - 327² = 4627

334² is 111556 and 327² is 106929, therefore the answer to the question "What 2 square numbers subtract to make 4627?" is 111556 and 106929 as illustrated below:

111556 - 106929 = 4627

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 4627. Below we list alternate solutions if available.

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